de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)+xy=e^xy

Lösung

\frac{d y}{d x} + x y = e^{x} y

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} + x y = e^{x} y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

tangent f(x)=x^2+4,\at x=1

t an g e n t f (x) = x^{2} + 4, at x = 1

tangent f(x)=x^5-3(x)^3+6

t an g e n t f (x) = x^{5} - 3 (x)^{3} + 6

derivative 6x^5(x^4-8)

d er i v a t i v e 6 x^{5} (x^{4} - 8)

inverselaplace ((2s+13))/(s^2+4s+13)

in v erse l a pl a ce \frac{( 2 s + 13 )}{s ^{2} + 4 s + 13}

integral from 0 to 4 of 1

\int_{0}^{4} 1