What is the solution for (dy)/(dx)=xy+3x+4y+12 ?

The solution for (dy)/(dx)=xy+3x+4y+12 is y=e^{(x^2)/2+4x+c_{1}}-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=xy+3x+4y+12

\frac{d y}{d x} = x y + 3 x + 4 y + 12

y = e^{\frac{x ^{2}}{2} + 4 x + c_{1}} - 3

Solution steps

\frac{d y}{d x} = x y + 3 x + 4 y + 12

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + 4 x + c_{1}} - 3

y = e^{\frac{x ^{2}}{2} + 4 x + c_{1}} - 3

\int ln (3 x - 2) d x

\int x^{3} + sin (x) d x

\frac{d}{d x} (\frac{sin ( x )}{x})

(2 x^{2} + 1)^{3} \cdot (x^{2} - 1)

What is the solution for (dy)/(dx)=xy+3x+4y+12 ?
The solution for (dy)/(dx)=xy+3x+4y+12 is y=e^{(x^2)/2+4x+c_{1}}-3