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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} - 4 x

Solution steps

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + x^{2} - 4 x

y = c_{1} + c_{2} e^{- x} + x^{2} - 4 x

Graph

Popular Examples

x^{''}-(pi^2)x=-1/pi

x^{^{''}} - (π^{2}) x = - \frac{1}{π}

2y^{''}-4y^'-6y=16e^{-x}

2 y^{^{''}} - 4 y^{^{'}} - 6 y = 16 e^{- x}

2y^{''}-2y^'-4y=2e^3x

2 y^{^{''}} - 2 y^{^{'}} - 4 y = 2 e^{3} x

y^{''}-4y^'-12y=12t

y^{^{''}} - 4 y^{^{'}} - 12 y = 12 t

y^{''}-2y^'+y=((e^t))/((1+t^2)+3e^t)

y^{^{''}} - 2 y^{^{'}} + y = \frac{( e ^{t} )}{( 1 + t ^{2} ) + 3 e ^{t}}

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^2-4x