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

The solution for (dy)/(dx)=xy+3x+5y+15 is y=e^{(x^2)/2+5x+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+5y+15

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{5 ^{x}}{1 + 5 ^{2 x}})

\int_{\frac{1}{7}}^{5} 16 x ln (7 x) d x

\frac{d}{d x} ((x)^{\frac{1}{2}})

\int_{- 2}^{2} x^{3} cos (\frac{x}{2}) + \frac{1}{2} d x

\frac{e ^{- 4 s}}{s ^{2} + 4 s + 3}

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