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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} - \frac{2 x ^{3} y}{x ^{4} + 3} = x^{3}

Lösung

y = \frac{1}{2} (x^{4} + 3) + c_{1} x^{4} + 3

Schritte zur Lösung

\frac{d y}{d x} - \frac{2 x ^{3} y}{x ^{4} + 3} = x^{3}

Solve linear ODE:

y = \frac{1}{2} (x^{4} + 3) + c_{1} x^{4} + 3

y = \frac{1}{2} (x^{4} + 3) + c_{1} x^{4} + 3

Graph

Beliebte Beispiele

derivative of 2Ax+B

\frac{d}{d x} (2 A x + B)

derivative of x^6ln(5x)

\frac{d}{d x} (x^{6} ln (5 x))

derivative of 1/(sqrt(x^2+2y^2-5))

\frac{d}{d x} (\frac{1}{x ^{2} + 2 y ^{2} - 5})

derivative f(x)=sqrt(5)x+sqrt(6x)

d er i v a t i v e f (x) = 5 x + 6 x

derivative f(x)=sqrt(20x)

d er i v a t i v e f (x) = 20 x