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Beliebt Rechnen >

xsqrt(1+y^2)dx=dy

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of (ln(x)/(5x^3))

\frac{d}{d x} (\frac{ln ( x )}{5 x ^{3}})

derivative 10000-9000e^{-0.3t}

d er i v a t i v e 10000 - 9000 e^{- 0.3 t}

inverselaplace s/((s-1)^2)

in v erse l a pl a ce \frac{s}{( s - 1 ) ^{2}}

derivative y=2x^{3/2}

d er i v a t i v e y = 2 x^{\frac{3}{2}}

(\partial)/(\partial x)(x^2y^3-4y)

\frac{\partial}{\partial x} (x^{2} y^{3} - 4 y)