What is the solution for (dy)/(dx)=15+5y+3x+yx ?

The solution for (dy)/(dx)=15+5y+3x+yx is y=e^{5x+(x^2)/2+c_{1}}-3

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(dy)/(dx)=15+5y+3x+yx

\frac{d y}{d x} = 15 + 5 y + 3 x + y x

y = e^{5 x + \frac{x ^{2}}{2} + c_{1}} - 3

Solution steps

\frac{d y}{d x} = 15 + 5 y + 3 x + y x

Solve separable ODE:

y = e^{5 x + \frac{x ^{2}}{2} + c_{1}} - 3

y = e^{5 x + \frac{x ^{2}}{2} + c_{1}} - 3

f^{^{'}} (x) = x^{2}

a \to 0 lim (\frac{1}{a})

\frac{\partial}{\partial x} (\frac{x}{1 - ln ( x - 1 )})

y = \frac{1}{20 x ^{2}}, y = x, y = \frac{x}{6}

\frac{d}{d x} (a (e^{2 x} + 2 e^{2 x} x))

What is the solution for (dy)/(dx)=15+5y+3x+yx ?
The solution for (dy)/(dx)=15+5y+3x+yx is y=e^{5x+(x^2)/2+c_{1}}-3