What is the solution for (dy)/(dx)=piy+12e ?

The solution for (dy)/(dx)=piy+12e is y=(e^{xpi+c_{1}})/pi-(12e)/pi

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(dy)/(dx)=piy+12e

\frac{d y}{d x} = π y + 12 e

y = \frac{e ^{x π + c_{1}}}{π} - \frac{12 e}{π}

Solution steps

\frac{d y}{d x} = π y + 12 e

Solve separable ODE:

y = \frac{e ^{x π + c_{1}}}{π} - \frac{12 e}{π}

y = \frac{e ^{x π + c_{1}}}{π} - \frac{12 e}{π}

x \to π lim (\frac{5 x}{3})

y = x, y = x

3^{x^{2} - 2 x + 1}

\int y^{2} e^{- y} d y

y = \frac{10}{x}

What is the solution for (dy)/(dx)=piy+12e ?
The solution for (dy)/(dx)=piy+12e is y=(e^{xpi+c_{1}})/pi-(12e)/pi