ﬁrst order ode time varying using laplace

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2.3.24 ﬁrst order ode time varying using laplace

Table 2.443: ﬁrst order ode time varying using laplace


#	ODE	CAS classiﬁcation	Solved?

9058	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

9059	\[ {}y^{\prime }-t y = 0 \] i.c.	[_separable]	✓

9060	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

9061	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

9062	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

9063	\[ {}t y^{\prime }+y = 0 \]	[_separable]	✓

9064	\[ {}t y^{\prime }+y = 0 \] i.c.	[_separable]	✓

9065	\[ {}t y^{\prime }+y = \sin \left (t \right ) \] i.c.	[_linear]	✗

9066	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

9067	\[ {}t y^{\prime }+y = t \] i.c.	[_linear]	✓

9068	\[ {}y^{\prime }+t^{2} y = 0 \] i.c.	[_separable]	✓

9069	\[ {}\left (a t +1\right ) y^{\prime }+y = t \] i.c.	[_linear]	✓

9070	\[ {}y^{\prime }+\left (a t +b t \right ) y = 0 \] i.c.	[_separable]	✓

9071	\[ {}y^{\prime }+\left (a t +b t \right ) y = 0 \] i.c.	[_separable]	✓

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