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Beliebt Rechnen >

(1+x^4)(dy}{dx}=\frac{x^3)/y

Lösung

(1 + x^{4}) \frac{d y}{d x} = \frac{x ^{3}}{y}

Lösung

y = \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}, y = - \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}

Schritte zur Lösung

(1 + x^{4}) \frac{d y}{d x} = \frac{x ^{3}}{y}

Solve separable ODE:

y = \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}, y = - \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}

y = \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}, y = - \frac{ln ( 1 + x ^{4} ) + c _{1}}{2}

Graph

Beliebte Beispiele

integral of 3e^{(3t)/2}t

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t an g e n t f (x) = 2 x^{3} - x^{2} + 1, at x = 2

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