What is the solution for (dy)/(dx)=x+2y,y(0)=7 ?

The solution for (dy)/(dx)=x+2y,y(0)=7 is y=-(2x+1)/4+29/4 e^{2x}

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(dy)/(dx)=x+2y,y(0)=7

\frac{d y}{d x} = x + 2 y, y (0) = 7

y = - \frac{2 x + 1}{4} + \frac{29}{4} e^{2 x}

Solution steps

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

Solve linear ODE:

y = - \frac{2 x + 1}{4} + \frac{29}{4} e^{2 x}

y = - \frac{2 x + 1}{4} + \frac{29}{4} e^{2 x}

What is the solution for (dy)/(dx)=x+2y,y(0)=7 ?
The solution for (dy)/(dx)=x+2y,y(0)=7 is y=-(2x+1)/4+29/4 e^{2x}