What is the solution for (x^2+3)((dy)/(dx))=xy ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2+3)((dy)/(dx))=xy

(x^{2} + 3) (\frac{d y}{d x}) = x y

y = c_{1} x^{2} + 3

Solution steps

(x^{2} + 3) (\frac{d y}{d x}) = x y

Solve separable ODE:

y = c_{1} x^{2} + 3

y = c_{1} x^{2} + 3

\frac{d}{d x} (\frac{1}{( 5 x ^{6} + 4 x + 1 ) ^{\frac{9}{2}}})

\frac{d y}{d x} + \frac{6}{x} y = - 5 x + 9

(x + 1) \frac{d y}{d x} + (x + 2) y = 2 x e^{- x}

\int \frac{x ^{2} + 4 x}{x ^{3} + 6 x ^{2} + 5} d x

\int \frac{x + 1}{x ^{3} - x} d x

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