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Popular >

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

Solution

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

Solution

y = c_{1} + c_{2} e^{- x} + x^{2}

Solution steps

y^{''} (x) + y^{'} (x) = 2 x + 2

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + x^{2}

y = c_{1} + c_{2} e^{- x} + x^{2}

Graph

Popular Examples

y^{''}-5y^'+6y=sin(4x)

y^{^{''}} - 5 y^{^{'}} + 6 y = sin (4 x)

y^{''}-2y^'+4y=e^{4x}

y^{^{''}} - 2 y^{^{'}} + 4 y = e^{4 x}

y^{''}-7y^'+10y=x^2-4+e^x

y^{^{''}} - 7 y^{^{'}} + 10 y = x^{2} - 4 + e^{x}

y^{''}+8y^'+16y=t^{-2}e^{-4t}

y^{^{''}} + 8 y^{^{'}} + 16 y = t^{- 2} e^{- 4 t}

y^{''}+9y=10e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 10 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=2x+2 ?
The solution for y^{''}+y^'=2x+2 is y=c_{1}+c_{2}e^{-x}+x^2