What is the solution for y^{''}+x=7y ?

The solution for y^{''}+x=7y is y=c_{1}e^{sqrt(7)x}+c_{2}e^{-sqrt(7)x}+x/7

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y^{''}+x=7y

y^{^{''}} + x = 7 y

y = c_{1} e^{7 x} + c_{2} e^{- 7 x} + \frac{x}{7}

Solution steps

y^{''} (x) + x = 7 y

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} e^{- 7 x} + \frac{x}{7}

y = c_{1} e^{7 x} + c_{2} e^{- 7 x} + \frac{x}{7}

\frac{\partial}{\partial y} (2 x e^{- 2 x y})

\frac{\partial}{\partial x} (z^{2} x)

x + x + x

y^{^{''}} + 6 y^{^{'}} + 5 y = 12 t e^{5 t}

x \to 2 lim (4 x^{2} + 3)

What is the solution for y^{''}+x=7y ?
The solution for y^{''}+x=7y is y=c_{1}e^{sqrt(7)x}+c_{2}e^{-sqrt(7)x}+x/7