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Beliebt Rechnen >

(dy)/(dx)x= 2/3 (y-1)^{3/2}

Lösung

\frac{d y}{d x} x = \frac{2}{3} (y - 1)^{\frac{3}{2}}

Lösung

y = \frac{36}{4 ln ^{2} ( x ) + 12 c _{1} ln ( x ) + 9 c _{1}^{2}} + 1

Schritte zur Lösung

\frac{d y}{d x} x = \frac{2}{3} (y - 1)^{\frac{3}{2}}

Solve separable ODE:

y = \frac{36}{4 ln ^{2} ( x ) + 12 c _{1} ln ( x ) + 9 c _{1}^{2}} + 1

y = \frac{36}{4 ln ^{2} ( x ) + 12 c _{1} ln ( x ) + 9 c _{1}^{2}} + 1

Graph

Beliebte Beispiele

(x-13)(x-3)y^'=y

(x - 13) (x - 3) y^{^{'}} = y

x d y - (y + 4) d x = 0

(dy)/(dx)=14e^{5x-y},y(0)=0

\frac{d y}{d x} = 14 e^{5 x - y}, y (0) = 0

(dy)/(dt)=((3t^2+4t+2))/(2(y-1))

\frac{d y}{d t} = \frac{( 3 t ^{2} + 4 t + 2 )}{2 ( y - 1 )}

y^{^{'}} - x (y - 1) = 0