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= x/(y^2),y(1)=0.5

Lösung

\frac{d y}{d x} + x y = \frac{x}{y ^{2}}, y (1) = 0.5

Lösung

y = \frac{3 - 7 e ^{\frac{- 3 x ^{2} + 3}{2}} + 8}{2}

Schritte zur Lösung

\frac{d y}{d x} + x y = \frac{x}{y ^{2}}

Solve separable ODE:

y = \frac{3 - 7 e ^{\frac{- 3 x ^{2} + 3}{2}} + 8}{2}

y = \frac{3 - 7 e ^{\frac{- 3 x ^{2} + 3}{2}} + 8}{2}

Graph

Beliebte Beispiele

1/x (dy)/(dx)+4y=2

\frac{1}{x} \frac{d y}{d x} + 4 y = 2

(3x+8)(y^2+4)dx-4y(x^2+5x+6)dy=0

(3 x + 8) (y^{2} + 4) d x - 4 y (x^{2} + 5 x + 6) d y = 0

(dy}{dx}=\frac{sqrt(y)ln(x))/x

\frac{d y}{d x} = \frac{y ln ( x )}{x}

y^'+ln(x)y=3ln(x)

y^{^{'}} + ln (x) y = 3 ln (x)

x^{2} y^{^{'}} + y = - 2