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ODE |
Mathematica |
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\[ {}y^{\prime }+\frac {2 y}{x} = 5 x^{2} \] |
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\[ {}t x^{\prime }+2 x = 4 \,{\mathrm e}^{t} \] |
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\[ {}y^{\prime } = \frac {2 x -y}{x +4 y} \] |
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\[ {}y^{\prime }+\frac {2 y}{x} = 6 x^{4} y^{2} \] |
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\[ {}y^{2}+\cos \left (x \right )+\left (2 x y+\sin \left (y\right )\right ) y^{\prime } = 0 \] |
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\[ {}x y-1+x^{2} y^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {\cos \left (y\right ) \sec \left (x \right )}{x} \] |
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\[ {}y^{\prime } = x \left (\cos \left (y\right )+y\right ) \] |
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\[ {}y^{\prime } = \frac {\sec \left (x \right ) \left (\sin \left (y\right )+y\right )}{x} \] |
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\[ {}y^{\prime } = \left (5+\frac {\sec \left (x \right )}{x}\right ) \left (\sin \left (y\right )+y\right ) \] |
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\[ {}y^{\prime } = y+1 \] |
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\[ {}y^{\prime } = 1+x \] |
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\[ {}y^{\prime } = x \] |
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\[ {}y^{\prime } = y \] |
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\[ {}y^{\prime } = 0 \] |
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\[ {}y^{\prime } = 1+\frac {\sec \left (x \right )}{x} \] |
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\[ {}y^{\prime } = x +\frac {\sec \left (x \right ) y}{x} \] |
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\[ {}y^{\prime } = \frac {2 y}{x} \] |
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\[ {}y^{\prime } = \frac {2 y}{x} \] |
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\[ {}y^{\prime } = \frac {\ln \left (1+y^{2}\right )}{\ln \left (x^{2}+1\right )} \] |
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\[ {}y^{\prime } = \frac {1}{x} \] |
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\[ {}y^{\prime } = \frac {-x y-1}{4 x^{3} y-2 x^{2}} \] |
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\[ {}\frac {{y^{\prime }}^{2}}{4}-x y^{\prime }+y = 0 \] |
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\[ {}y^{\prime } = \sqrt {\frac {y+1}{y^{2}}} \] |
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\[ {}y^{\prime } = \sqrt {1-x^{2}-y^{2}} \] |
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\[ {}y^{\prime }+\frac {y}{3} = \frac {\left (-2 x +1\right ) y^{4}}{3} \] |
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\[ {}y^{\prime } = \sqrt {y}+x \] |
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\[ {}x^{2} y^{\prime }+y^{2} = x y y^{\prime } \] |
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\[ {}y = x y^{\prime }+x^{2} {y^{\prime }}^{2} \] |
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\[ {}\left (x +y\right ) y^{\prime } = 0 \] |
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\[ {}x y^{\prime } = 0 \] |
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\[ {}\frac {y^{\prime }}{x +y} = 0 \] |
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\[ {}\frac {y^{\prime }}{x} = 0 \] |
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\[ {}y^{\prime } = 0 \] |
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\[ {}y = x {y^{\prime }}^{2}+{y^{\prime }}^{2} \] |
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\[ {}y^{\prime } = \frac {5 x^{2}-x y+y^{2}}{x^{2}} \] |
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\[ {}2 t +3 x+\left (x+2\right ) x^{\prime } = 0 \] |
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\[ {}y^{\prime } = \frac {1}{1-y} \] |
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\[ {}p^{\prime } = a p-b p^{2} \] |
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\[ {}y^{2}+\frac {2}{x}+2 x y y^{\prime } = 0 \] |
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\[ {}f^{\prime } x -f = \frac {{f^{\prime }}^{2} \left (1-{f^{\prime }}^{\lambda }\right )^{2}}{\lambda ^{2}} \] |
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\[ {}x y^{\prime }-2 y+b y^{2} = c \,x^{4} \] |
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\[ {}x y^{\prime }-y+y^{2} = x^{\frac {2}{3}} \] |
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\[ {}u^{\prime }+u^{2} = \frac {1}{x^{\frac {4}{5}}} \] |
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\[ {}y y^{\prime }-y = x \] |
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\[ {}y = x {y^{\prime }}^{2} \] |
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\[ {}y y^{\prime } = 1-x {y^{\prime }}^{3} \] |
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\[ {}f^{\prime } = \frac {1}{f} \] |
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\[ {}y^{\prime } = -4 \sin \left (x -y\right )-4 \] |
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\[ {}y^{\prime }+\sin \left (x -y\right ) = 0 \] |
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\[ {}x^{\prime } = 4 A k \left (\frac {x}{A}\right )^{\frac {3}{4}}-3 k x \] |
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\[ {}\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}} = -x \] |
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\[ {}\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}} = -x \] |
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\[ {}y^{\prime } = \frac {y \left (1+\frac {a^{2} x}{\sqrt {a^{2} \left (x^{2}+1\right )}}\right )}{\sqrt {a^{2} \left (x^{2}+1\right )}} \] |
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\[ {}y^{\prime } = x^{2}+y^{2} \] |
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\[ {}y^{\prime } = 2 \sqrt {y} \] |
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\[ {}y^{\prime } = \sqrt {1-y^{2}} \] |
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\[ {}y^{\prime } = -1+x^{2}+y^{2} \] |
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\[ {}y^{\prime } = 2 y \left (x \sqrt {y}-1\right ) \] |
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\[ {}y^{\prime }-y^{2}-x -x^{2} = 0 \] |
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\[ {}w^{\prime } = -\frac {1}{2}-\frac {\sqrt {1-12 w}}{2} \] |
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\[ {}y^{\prime } = {\mathrm e}^{-\frac {y}{x}} \] |
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\[ {}y^{\prime } = 2 x^{2} \sin \left (\frac {y}{x}\right )^{2}+\frac {y}{x} \] |
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\[ {}v v^{\prime } = \frac {2 v^{2}}{r^{3}}+\frac {\lambda r}{3} \] |
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\[ {}{y^{\prime }}^{2}+y^{2} = \sec \left (x \right )^{4} \] |
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\[ {}\left (y-2 x y^{\prime }\right )^{2} = {y^{\prime }}^{3} \] |
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\[ {}y^{\prime } = y \left (1-y^{2}\right ) \] |
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\[ {}h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}} = b^{2} \] |
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\[ {}y^{\prime } = \frac {y}{2 y \ln \left (y\right )+y-x} \] |
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\[ {}x^{2} y^{\prime }+{\mathrm e}^{-y} = 0 \] |
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\[ {}y^{\prime } = \frac {x y+3 x -2 y+6}{x y-3 x -2 y+6} \] |
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\[ {}y^{\prime } = 0 \] |
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\[ {}y^{\prime } = a \] |
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\[ {}y^{\prime } = x \] |
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\[ {}y^{\prime } = 1 \] |
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\[ {}y^{\prime } = a x \] |
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\[ {}y^{\prime } = a x y \] |
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\[ {}y^{\prime } = a x +y \] |
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\[ {}y^{\prime } = a x +b y \] |
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\[ {}y^{\prime } = y \] |
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\[ {}y^{\prime } = b y \] |
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\[ {}y^{\prime } = a x +b y^{2} \] |
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\[ {}c y^{\prime } = 0 \] |
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\[ {}c y^{\prime } = a \] |
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\[ {}c y^{\prime } = a x \] |
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\[ {}c y^{\prime } = a x +y \] |
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\[ {}c y^{\prime } = a x +b y \] |
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\[ {}c y^{\prime } = y \] |
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\[ {}c y^{\prime } = b y \] |
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\[ {}c y^{\prime } = a x +b y^{2} \] |
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\[ {}c y^{\prime } = \frac {a x +b y^{2}}{r} \] |
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\[ {}c y^{\prime } = \frac {a x +b y^{2}}{r x} \] |
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\[ {}c y^{\prime } = \frac {a x +b y^{2}}{r \,x^{2}} \] |
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\[ {}c y^{\prime } = \frac {a x +b y^{2}}{y} \] |
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\[ {}a \sin \left (x \right ) y x y^{\prime } = 0 \] |
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\[ {}f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi = 0 \] |
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\[ {}y^{\prime } = \sin \left (x \right )+y \] |
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\[ {}y^{\prime } = \sin \left (x \right )+y^{2} \] |
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\[ {}y^{\prime } = \cos \left (x \right )+\frac {y}{x} \] |
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\[ {}y^{\prime } = \cos \left (x \right )+\frac {y^{2}}{x} \] |
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