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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=piy+12

\frac{d y}{d x} = π y + 12

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

Solution steps

\frac{d y}{d x} = π y + 12

Solve separable ODE:

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

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

\int \frac{e ^{5 x} - e ^{2 x} + 1}{e ^{x}} d x

\int 8 x (ln (x^{5}))^{2} d x

\frac{d y}{d x}, x y = 0

\int_{0}^{π} cos^{2} (x) d x

\frac{d x}{d t} = x - 2 x^{2}

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