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Beliebt Rechnen >

y^'=(3x)/(y+x^2y),y(0)=-3

Lösung

y^{^{'}} = \frac{3 x}{y + x ^{2} y}, y (0) = - 3

Lösung

y = - 3 ln (1 + x^{2}) + 9

Schritte zur Lösung

y^{'} (x) = \frac{3 x}{y + x ^{2} y}

Solve separable ODE:

y = - 3 ln (1 + x^{2}) + 9

y = - 3 ln (1 + x^{2}) + 9

Graph

Beliebte Beispiele

(\partial)/(\partial z)(1/z)

\frac{\partial}{\partial z} (\frac{1}{z})

inverselaplace 1/((s-2)(s-4))

in v erse l a pl a ce \frac{1}{( s - 2 ) ( s - 4 )}

derivative of \sqrt[3]{3x^4+5}

\frac{d}{d x} (3 3 x^{4} + 5)

y^{'''}-12y^{''}+52y^'-96y=0

y^{^{'''}} - 12 y^{^{''}} + 52 y^{^{'}} - 96 y = 0

fläche y=e^x,y=7e^{-x}+6,x=0

a re a y = e^{x}, y = 7 e^{- x} + 6, x = 0