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Beliebt Rechnen >

(sqrt(y^2+1))/(ydy)= x/(dx)

Lösung

\frac{y ^{2} + 1}{y d y} = \frac{x}{d x}

Lösung

y = ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1, y = - ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1

Schritte zur Lösung

\frac{y ^{2} + 1}{y d y} = \frac{x}{d x}

Solve separable ODE:

y = ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1, y = - ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1

y = ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1, y = - ln^{2} (x) + 2 c_{1} ln (x) + c_{1}^{2} - 1

Graph

Beliebte Beispiele

derivative of 2x^2-4x+5

\frac{d}{d x} (2 x^{2} - 4 x + 5)

derivative 3e^{6x}

d er i v a t i v e 3 e^{6 x}

(\partial)/(\partial x)(16x-4y-6yx)

\frac{\partial}{\partial x} (16 x - 4 y - 6 y x)

integral from-1 to 2 of (2-5x+1/2 x^2)

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

f(x)=(x+9)^{1/2}

f (x) = (x + 9)^{\frac{1}{2}}