What is the solution for (dy}{dx}+y(1-2x)=-\frac{x^2)/2 y ?

The solution for (dy}{dx}+y(1-2x)=-\frac{x^2)/2 y is y=e^{-(x^3)/6+x^2-x+c_{1}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy}{dx}+y(1-2x)=-\frac{x^2)/2 y

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

y = e^{- \frac{x ^{3}}{6} + x^{2} - x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- \frac{x ^{3}}{6} + x^{2} - x + c_{1}}

y = e^{- \frac{x ^{3}}{6} + x^{2} - x + c_{1}}

\int 50 + 3 x^{2} - \frac{3}{2} x d x

\int \frac{8 x ^{2}}{4 x ^{2} + 7} d x

\frac{d}{d x} (- \frac{4}{( 2 x + 1 ) ^{2}})

e^{s^{2}}

\int x^{3} (x^{4} + 2)^{5} d x

What is the solution for (dy}{dx}+y(1-2x)=-\frac{x^2)/2 y ?
The solution for (dy}{dx}+y(1-2x)=-\frac{x^2)/2 y is y=e^{-(x^3)/6+x^2-x+c_{1}}