de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dt)=1+t^2+y^2+t^2y^2,y(0)=1

Lösung

\frac{d y}{d t} = 1 + t^{2} + y^{2} + t^{2} y^{2}, y (0) = 1

Lösung

y = tan (\frac{t ^{3}}{3} + t + \frac{π}{4})

Schritte zur Lösung

\frac{d y}{d t} = 1 + t^{2} + y^{2} + t^{2} y^{2}

Solve separable ODE:

y = tan (\frac{t ^{3}}{3} + t + \frac{π}{4})

y = tan (\frac{t ^{3}}{3} + t + \frac{π}{4})

Graph

Beliebte Beispiele

derivative of 6x^2+7y^2-1=0

\frac{d}{d x} (6 x^{2} + 7 y^{2} - 1) = 0

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

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

(dy)/(dt)=-2k(y^2-2)

\frac{d y}{d t} = - 2 k (y^{2} - 2)

y^{^{'}} = 3 y e^{t}

\frac{y ^{^{'}}}{x} = 1 + y^{2}