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Popular >

y^{''}+3y^'=2

Solution

y^{^{''}} + 3 y^{^{'}} = 2

Solution

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

Solution steps

y^{''} (t) + 3 y^{'} (t) = 2

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

Popular Examples

y^{''}-2y^'-3y=8e^x-12

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e^{x} - 12

y^{^{''}} + y = e^{x} + x

y^{^{''}} - y = x e^{x}

y^{'''}-y^{''}-y^'+y=2e^{-t}+3

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 2 e^{- t} + 3

y^{''}+2y^'+10y=x^2e^{-x}cos(3x)

y^{^{''}} + 2 y^{^{'}} + 10 y = x^{2} e^{- x} cos (3 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+3y^'=2 ?
The solution for y^{''}+3y^'=2 is y=c_{1}+c_{2}e^{-3t}+(2t)/3