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Beliebt Rechnen >

(dy)/(dx)=x+1/5 y

Lösung

\frac{d y}{d x} = x + \frac{1}{5} y

Lösung

y = - 5 x - 25 + c_{1} e^{\frac{x}{5}}

Schritte zur Lösung

\frac{d y}{d x} = x + \frac{1}{5} y

Solve linear ODE:

y = - 5 x - 25 + c_{1} e^{\frac{x}{5}}

y = - 5 x - 25 + c_{1} e^{\frac{x}{5}}

Graph

Beliebte Beispiele

derivative of (x^2-4/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 4}{x + 1})

(d^2y)/(dx^2)-(dy)/(dx)+y=0

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} + y = 0

derivative f(x)=x^8-46

d er i v a t i v e f (x) = x^{8} - 46

(dy)/(dx)(y^{-2})+y^{-1}=2x

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

integral of (100)/(x^3-10x^2)

\int \frac{100}{x ^{3} - 10 x ^{2}} d x