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Beliebt Rechnen >

(dx)/(dt)x=t^2-5

Lösung

\frac{d x}{d t} x = t^{2} - 5

Lösung

x = \frac{2 t ^{3}}{3} - 10 t + c_{1}, x = - \frac{2 t ^{3}}{3} - 10 t + c_{1}

Schritte zur Lösung

\frac{d x}{d t} x = t^{2} - 5

Solve separable ODE:

x = \frac{2 t ^{3}}{3} - 10 t + c_{1}, x = - \frac{2 t ^{3}}{3} - 10 t + c_{1}

x = \frac{2 t ^{3}}{3} - 10 t + c_{1}, x = - \frac{2 t ^{3}}{3} - 10 t + c_{1}

Graph

Beliebte Beispiele

(dy)/(dt)=100-y,y(0)=20

\frac{d y}{d t} = 100 - y, y (0) = 20

(dx)/(dt)=30-11x+x^2

\frac{d x}{d t} = 30 - 11 x + x^{2}

derivative of (xy)=(y)x

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

derivative of z(x*e^{2x})=e^{2x}

\frac{d}{d x} (z (x) \cdot e^{2 x}) = e^{2 x}

e^{y} \cdot d y - 2 x \cdot d x = 0