What is the solution for (dy)/(dx)=6+5x+36y+30xy ?

The solution for (dy)/(dx)=6+5x+36y+30xy is y=(e^{36x+15x^2+c_{1}})/6-1/6

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(dy)/(dx)=6+5x+36y+30xy

\frac{d y}{d x} = 6 + 5 x + 36 y + 30 x y

y = \frac{e ^{36 x + 15 x^{2} + c_{1}}}{6} - \frac{1}{6}

Solution steps

\frac{d y}{d x} = 6 + 5 x + 36 y + 30 x y

Solve separable ODE:

y = \frac{e ^{36 x + 15 x^{2} + c_{1}}}{6} - \frac{1}{6}

y = \frac{e ^{36 x + 15 x^{2} + c_{1}}}{6} - \frac{1}{6}

x \to 2 - lim (\frac{x ^{2} + 4}{x - 2})

\int 4 x e^{x} d x

t \to 0 + lim (t + 1)

\int \frac{x ^{2}}{cos ^{2} ( x )} d x

\int 3 v (v^{2} + 6)^{2} d v

What is the solution for (dy)/(dx)=6+5x+36y+30xy ?
The solution for (dy)/(dx)=6+5x+36y+30xy is y=(e^{36x+15x^2+c_{1}})/6-1/6