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Beliebt Rechnen >

((dy)/(dx))/y =x^{x-1}

Lösung

\frac{\frac{d y}{d x}}{y} = x^{x - 1}

Lösung

y = e^{\int x^{x - 1} d x}

Schritte zur Lösung

\frac{\frac{d y}{d x}}{y} = x^{x - 1}

Solve separable ODE:

y = e^{\int x^{x - 1} d x}

y = e^{\int x^{x - 1} d x}

Beliebte Beispiele

y^'+2y=2,6sin(3t)y(0)=3

y^{^{'}} + 2 y = 2, 6 sin (3 t) y (0) = 3

3x(dy)/(dx)+9x^3y=3x^3

3 x \frac{d y}{d x} + 9 x^{3} y = 3 x^{3}

x(dy)/(dx)+cot(y)=0

x \frac{d y}{d x} + cot (y) = 0

N^{^{'}} = r - a (N - b)^{2}

y^'= 1/2 sqrt(y)cos^2(sqrt(y))

y^{^{'}} = \frac{1}{2} y cos^{2} (y)