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Beliebt Rechnen >

(dy)/(dt)=-0.06sqrt(y)

Lösung

\frac{d y}{d t} = - 0.06 y

Lösung

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d t} = - 0.06 y

Solve separable ODE:

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

y = \frac{9 t ^{2}}{10000} - \frac{3 c _{1} t}{100} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

y^5(dy)/(dx)=2x^4y^6-6x^4

y^{5} \frac{d y}{d x} = 2 x^{4} y^{6} - 6 x^{4}

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

(x^2+1)((dy)/(dx))+3x(y-1)=0,y(0)=5

(x^{2} + 1) (\frac{d y}{d x}) + 3 x (y - 1) = 0, y (0) = 5

y^'-2ty=-t,y(0)= 15/2

y^{^{'}} - 2 t y = - t, y (0) = \frac{15}{2}

x^3dx+(y+1)dy=0

x^{3} d x + (y + 1) d y = 0