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Beliebt Rechnen >

x^3=(2sqrt(y^5+4))/(5y^4y^')

Lösung

x^{3} = \frac{2 y ^{5} + 4}{5 y ^{4} y ^{^{'}}}

Lösung

y = - \frac{5 4 x ^{2} + 5 c _{1} x ^{2} - 1 5 4 x ^{2} - 5 c _{1} x ^{2} + 1}{5 4 x ^{4}}

Schritte zur Lösung

x^{3} = \frac{2 y ^{5} + 4}{5 y ^{4} y ^{'} ( x )}

Solve separable ODE:

y = - \frac{5 4 x ^{2} + 5 c _{1} x ^{2} - 1 5 4 x ^{2} - 5 c _{1} x ^{2} + 1}{5 4 x ^{4}}

y = - \frac{5 4 x ^{2} + 5 c _{1} x ^{2} - 1 5 4 x ^{2} - 5 c _{1} x ^{2} + 1}{5 4 x ^{4}}

Graph

Beliebte Beispiele

integral of sin(16x)cos(7x)

\int sin (16 x) cos (7 x) d x

(\partial)/(\partial x)(x^7y^6)

\frac{\partial}{\partial x} (x^{7} y^{6})

integral of sqrt(5x-1)

\int 5 x - 1 d x

(dy)/(dx)=8-y/(50),y(0)=50

\frac{d y}{d x} = 8 - \frac{y}{50}, y (0) = 50

y^{^{''}} = 6 t