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Beliebt Rechnen >

x^4(dy)/(dx)+y^5=0

Lösung

x^{4} \frac{d y}{d x} + y^{5} = 0

Lösung

y = 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}, y = - 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}

Schritte zur Lösung

x^{4} \frac{d y}{d x} + y^{5} = 0

Solve separable ODE:

y = 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}, y = - 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}

y = 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}, y = - 4 - \frac{3 x ^{3}}{4 ( 1 + 3 c _{1} x ^{3} )}

Graph

Beliebte Beispiele

(dy)/(dx)=-a/g*(y-b)+c/g

\frac{d y}{d x} = - \frac{a}{g} \cdot (y - b) + \frac{c}{g}

\frac{d y}{d x} x + y = 0

-8ysin(4x)+(dy)/(dx)cos(4x)=0

- 8 y sin (4 x) + \frac{d y}{d x} cos (4 x) = 0

y^{^{'}} = y \cdot cos (x)

(dy)/(dx)=(2x+12)/(3y^2-4),y(1)=2

\frac{d y}{d x} = \frac{2 x + 12}{3 y ^{2} - 4}, y (1) = 2