What is the solution for (dy)/(dx)=xy+5x+2y+10 ?

The solution for (dy)/(dx)=xy+5x+2y+10 is y=e^{(x^2)/2+2x+c_{1}}-5

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(dy)/(dx)=xy+5x+2y+10

\frac{d y}{d x} = x y + 5 x + 2 y + 10

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 5

Solution steps

\frac{d y}{d x} = x y + 5 x + 2 y + 10

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 5

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 5

13 sin (2 t)

\int (\frac{10}{1 - sin ^{2} ( x )}) d x

n = 1 \sum \infty \frac{( ( - 1 ) ^{(n - 1)} )}{( n ^{3} )}

y^{^{'}} + 2 y = 3

x \to 2 - lim (2 - x)

What is the solution for (dy)/(dx)=xy+5x+2y+10 ?
The solution for (dy)/(dx)=xy+5x+2y+10 is y=e^{(x^2)/2+2x+c_{1}}-5