ﬁrst order ode time varying using laplace

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2.3.23 ﬁrst order ode time varying using laplace

Table 2.419: ﬁrst order ode time varying using laplace


#	ODE	CAS classiﬁcation	Solved?

8734	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

8735	\[ {}y^{\prime }-t y = 0 \] i.c.	[_separable]	✓

8736	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

8737	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

8738	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

8739	\[ {}t y^{\prime }+y = 0 \]	[_separable]	✓

8740	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

8741	\[ {}t y^{\prime }+y = \sin \left (t \right ) \] i.c.	[_linear]	✗

8742	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

8743	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

8744	\[ {}y^{\prime }+t^{2} y = 0 \] i.c.	[_separable]	✓

8745	\[ {}\left (a t +1\right ) y^{\prime }+y = t \] i.c.	[_linear]	✓

8746	\[ {}y^{\prime }+\left (a t +t b \right ) y = 0 \] i.c.	[_separable]	✓

8747	\[ {}y^{\prime }+\left (a t +t b \right ) y = 0 \] i.c.	[_separable]	✓

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