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Beliebt Rechnen >

t(dy)/(dt)=t^3+12t^3y

Lösung

t \frac{d y}{d t} = t^{3} + 12 t^{3} y

Lösung

y = \frac{e ^{4 t^{3} + c_{1}}}{12} - \frac{1}{12}

Schritte zur Lösung

t \frac{d y}{d t} = t^{3} + 12 t^{3} y

Solve separable ODE:

y = \frac{e ^{4 t^{3} + c_{1}}}{12} - \frac{1}{12}

y = \frac{e ^{4 t^{3} + c_{1}}}{12} - \frac{1}{12}

Graph

Beliebte Beispiele

integral of x^2-sqrt(x)

\int x^{2} - x d x

derivative f(x)=ln(x+ln(x))

d er i v a t i v e f (x) = ln (x + ln (x))

derivative-1/(1-x)

d er i v a t i v e - \frac{1}{1 - x}

(\partial)/(\partial x)(2e^yxy)

\frac{\partial}{\partial x} (2 e^{y} x y)

tangent f(x)=-3x^{2/3},\at x=-8

t an g e n t f (x) = - 3 x^{\frac{2}{3}}, at x = - 8