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Popular >

y^{''}+y^'-6=2x

Solution

y^{^{''}} + y^{^{'}} - 6 = 2 x

Solution

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

Solution steps

y^{''} (x) + y^{'} (x) - 6 = 2 x

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

y^{''}+2y^'+y=\H(t-1)-\H(t-4)

y^{^{''}} + 2 y^{^{'}} + y = H (t - 1) - H (t - 4)

y^{''}-2y^'-3y=2xe^{3x}

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

y^{^{''}} - 2 y^{^{'}} = 8 x

0.5y^{''}+6y^'+50y=240cos(10t)

0.5 y^{^{''}} + 6 y^{^{'}} + 50 y = 240 cos (10 t)

y^{''}+y=4*cos(x)

y^{^{''}} + y = 4 \cdot cos (x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'-6=2x ?
The solution for y^{''}+y^'-6=2x is y=c_{1}+c_{2}e^{-x}+x^2+4x