de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=((ln(x))^6)/(xy^2)

Lösung

\frac{d y}{d x} = \frac{( ln ( x ) ) ^{6}}{x y ^{2}}

Lösung

y = 3 \frac{3 ln ^{7} ( x ) + c _{1}}{7}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( ln ( x ) ) ^{6}}{x y ^{2}}

Solve separable ODE:

y = 3 \frac{3 ln ^{7} ( x ) + c _{1}}{7}

y = 3 \frac{3 ln ^{7} ( x ) + c _{1}}{7}

Graph

Beliebte Beispiele

y^{^{'}} + 5 y^{3} = 0

(dy)/(dx)=(x^2+1)/(y^2+1),y(2)=2

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

y'(t)=y(y+1)^2,y(0)=1

y^{'} (t) = y (y + 1)^{2}, y (0) = 1

(dy)/(dx)=(35)/(y^{1/6)+49x^2y^{1/6}}

\frac{d y}{d x} = \frac{35}{y ^{\frac{1}{6}} + 49 x ^{2} y ^{\frac{1}{6}}}

(dy)/(dx)y=-6x^{3/2}

\frac{d y}{d x} y = - 6 x^{\frac{3}{2}}