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Popular >

y^'-5y=9e^{8t}

Solution

y^{^{'}} - 5 y = 9 e^{8 t}

Solution

y = 3 e^{8 t} + c_{1} e^{5 t}

Solution steps

y^{'} (t) - 5 y = 9 e^{8 t}

Solve linear ODE:

y = 3 e^{8 t} + c_{1} e^{5 t}

y = 3 e^{8 t} + c_{1} e^{5 t}

Popular Examples

integral of 2/(2x+3)

\int \frac{2}{2 x + 3} d x

y^{''}+4y^'+5y=35e^{-4x},y(0)=-3,y^'(0)=1

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e^{- 4 x}, y (0) = - 3, y^{^{'}} (0) = 1

4 x^{^{'}} + x = 5

(dy)/(dt)+0.1ty=2t,y(0)=3

\frac{d y}{d t} + 0.1 t y = 2 t, y (0) = 3

y^{1/2}y^'+y^{3/2}=1,y(0)=4

y^{\frac{1}{2}} y^{^{'}} + y^{\frac{3}{2}} = 1, y (0) = 4

Frequently Asked Questions (FAQ)

What is the solution for y^'-5y=9e^{8t} ?
The solution for y^'-5y=9e^{8t} is y=3e^{8t}+c_{1}e^{5t}