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Beliebt Rechnen >

(dy)/(dx)=(y+1)/(x^3)

Lösung

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

Lösung

y = e^{- \frac{1}{2 x ^{2}} + c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{1}{2 x ^{2}} + c_{1}} - 1

y = e^{- \frac{1}{2 x ^{2}} + c_{1}} - 1

Graph

Beliebte Beispiele

sum from n=1 to infinity of ((3x)^n)/n

n = 1 \sum \infty \frac{( 3 x ) ^{n}}{n}

integral of x-sqrt(x)

\int x - x d x

integral of (5x)/(cos^2(x^2))

\int \frac{5 x}{cos ^{2} ( x ^{2} )} d x

\int 21 d x

(d^2y)/(dx^2)=-49y

\frac{d ^{2} y}{d x ^{2}} = - 49 y