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Beliebt Rechnen >

100x+(dy)/(dx)=xy

Lösung

100 x + \frac{d y}{d x} = x y

Lösung

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

Schritte zur Lösung

100 x + \frac{d y}{d x} = x y

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

y = e^{\frac{x ^{2}}{2} + c_{1}} + 100

Graph

Beliebte Beispiele

limit as t approaches 10 of (t^2+3t-130)/(t^2-100)

t \to 10 lim (\frac{t ^{2} + 3 t - 130}{t ^{2} - 100})

y^{^{'}} + 2 x = 0

integral of (1+2x)^2

\int (1 + 2 x)^{2} d x

derivative (-3x-2)/(2x^2+x+3)

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

derivative of (e^x/(x^3))

\frac{d}{d x} (\frac{e ^{x}}{x ^{3}})