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Beliebt Rechnen >

2x((dy)/(dx))=2xe^x-2y+6x^2

Lösung

2 x (\frac{d y}{d x}) = 2 x e^{x} - 2 y + 6 x^{2}

Lösung

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

Schritte zur Lösung

2 x (\frac{d y}{d x}) = 2 x e^{x} - 2 y + 6 x^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of A(e^xx+2e^x)

\frac{d}{d x} (A (e^{x} x + 2 e^{x}))

fläche y= 1/25 x^2,x=5,y=0

a re a y = \frac{1}{25} x^{2}, x = 5, y = 0

derivative (2x^2-1)/(xsqrt(1+x^2))

d er i v a t i v e \frac{2 x ^{2} - 1}{x 1 + x ^{2}}

derivative (sqrt(x-1))+(2x-2)

d er i v a t i v e (x - 1) + (2 x - 2)

(\partial)/(\partial x)(xcos(x+2y)*2)

\frac{\partial}{\partial x} (x cos (x + 2 y) \cdot 2)