de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x^2-3)(dy)/(dx)=x(y^2+16),y(2)=4

Lösung

(x^{2} - 3) \frac{d y}{d x} = x (y^{2} + 16), y (2) = 4

Lösung

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

Schritte zur Lösung

(x^{2} - 3) \frac{d y}{d x} = x (y^{2} + 16)

Solve separable ODE:

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

y = 4 tan (2 ln (x^{2} - 3) + \frac{π}{4})

Graph

Beliebte Beispiele

(dy)/(dx)=(x+2)/(y^2)

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

\frac{d x}{x} = \frac{d y}{y}

x y^{^{'}} - (x + 1) y = 0

xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1

x y^{2} cos (x) d x - 3 x^{2} y cos (x) d y = 0, y (1) = 1

(dP)/(dt)=2sqrt(Pt),P(1)=2

\frac{d P}{d t} = 2 Pt, P (1) = 2