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Beliebt Rechnen >

y^'=xe^{x^2-4}

Lösung

y^{^{'}} = x e^{x^{2} - 4}

Lösung

y = \frac{1}{2} e^{x^{2} - 4} + c_{1}

Schritte zur Lösung

y^{'} (x) = x e^{x^{2} - 4}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int x e^{x^{2} - 4} d x

\int x e^{x^{2} - 4} d x = \frac{1}{2} e^{x^{2} - 4} + c_{1}

y = \frac{1}{2} e^{x^{2} - 4} + c_{1}

Graph

Beliebte Beispiele

derivative y=ln(x^3+4)

d er i v a t i v e y = ln (x^{3} + 4)

(\partial)/(\partial x)(sqrt(6x-2y))

\frac{\partial}{\partial x} (6 x - 2 y)

y^'=4x+y,y(0)=7

y^{^{'}} = 4 x + y, y (0) = 7

y^{''}-6y^'+9y=0,y(0)=2,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 1

derivative 2/(5x+3)

d er i v a t i v e \frac{2}{5 x + 3}