What is the solution for (d^2y)/(dx^2)=(dy)/(dx)+x ?

The solution for (d^2y)/(dx^2)=(dy)/(dx)+x is y=c_{1}e^x+c_{2}-(x^2)/2-x

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(d^2y)/(dx^2)=(dy)/(dx)+x

\frac{d ^{2} y}{d x ^{2}} = \frac{d y}{d x} + x

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} = \frac{d y}{d x} + x

Solve linear ODE:

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

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

What is the solution for (d^2y)/(dx^2)=(dy)/(dx)+x ?
The solution for (d^2y)/(dx^2)=(dy)/(dx)+x is y=c_{1}e^x+c_{2}-(x^2)/2-x