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Beliebt Rechnen >

y^'=9xe^y,y(0)=0

Lösung

y^{^{'}} = 9 x e^{y}, y (0) = 0

Lösung

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

Schritte zur Lösung

y^{'} (x) = 9 x e^{y}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of 1/(x^3sqrt(x^2-9))

\int \frac{1}{x ^{3} x ^{2} - 9} d x

derivative of xlog_{e}(x)

\frac{d}{d x} (x lo g_{e} (x))

(\partial)/(\partial x)(7xy^9+x^5y^7)

\frac{\partial}{\partial x} (7 x y^{9} + x^{5} y^{7})

derivative of 2x+4/x

\frac{d}{d x} (2 x + \frac{4}{x})

integral of (18)/(1-cos(2x))

\int \frac{18}{1 - cos ( 2 x )} d x