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Beliebt Rechnen >

(dx)/(dt)=2xsqrt(x)

Lösung

\frac{d x}{d t} = 2 x x

Lösung

x = \frac{4}{4 t ^{2} + 4 c _{1} t + c _{1}^{2}}

Schritte zur Lösung

\frac{d x}{d t} = 2 x x

Solve separable ODE:

x = \frac{4}{4 t ^{2} + 4 c _{1} t + c _{1}^{2}}

x = \frac{4}{4 t ^{2} + 4 c _{1} t + c _{1}^{2}}

Graph

Beliebte Beispiele

8x(dy)/(dx)=-1/(y^3sqrt(1+x))

8 x \frac{d y}{d x} = - \frac{1}{y ^{3} 1 + x}

(dy)/(dt)+e^ty=24e^t

\frac{d y}{d t} + e^{t} y = 24 e^{t}

(ydt)/(dy)=t^2-10t+21

\frac{y d t}{d y} = t^{2} - 10 t + 21

\sqrt[4]{x}dx=(dy)/(\sqrt[4]{y)}

4 x d x = \frac{d y}{4 y}

(dy)/(dx)= y/(x^2-4)

\frac{d y}{d x} = \frac{y}{x ^{2} - 4}