What is the solution for (dy)/(dx)=xy+7x+3y+21 ?

The solution for (dy)/(dx)=xy+7x+3y+21 is y=e^{(x^2)/2+3x+c_{1}}-7

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(dy)/(dx)=xy+7x+3y+21

\frac{d y}{d x} = x y + 7 x + 3 y + 21

y = e^{\frac{x ^{2}}{2} + 3 x + c_{1}} - 7

Solution steps

\frac{d y}{d x} = x y + 7 x + 3 y + 21

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + 3 x + c_{1}} - 7

y = e^{\frac{x ^{2}}{2} + 3 x + c_{1}} - 7

t^{2} y^{^{''}} + t y^{^{'}} + 49 y = 0

f (x) = \frac{2 - 5 x - x ^{2}}{x ^{2} - 4}

\frac{d}{d x} (x^{2} - 3 x - 3 x^{- 2})

\int_{0}^{0.6} 2500 x d x

(x^{2} + 4) d y = (2 x - 10 x y) d x

What is the solution for (dy)/(dx)=xy+7x+3y+21 ?
The solution for (dy)/(dx)=xy+7x+3y+21 is y=e^{(x^2)/2+3x+c_{1}}-7