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Beliebt Rechnen >

(dy)/(dx)x^2+4xy=y

Lösung

\frac{d y}{d x} x^{2} + 4 x y = y

Lösung

y = \frac{e ^{\frac{- 1 + c _{1} x}{x}}}{x ^{4}}

Schritte zur Lösung

\frac{d y}{d x} x^{2} + 4 x y = y

Solve separable ODE:

y = \frac{e ^{\frac{- 1 + c _{1} x}{x}}}{x ^{4}}

y = \frac{e ^{\frac{- 1 + c _{1} x}{x}}}{x ^{4}}

Graph

Beliebte Beispiele

y^{^{'}} - y sin (3 x) = 0

dy=((y+4))/(x+5)dx

d y = \frac{( y + 4 )}{x + 5} d x

(dy)/(dx)y=(1-2x^2)/(x^4-2x^2+6)

\frac{d y}{d x} y = \frac{1 - 2 x ^{2}}{x ^{4} - 2 x ^{2} + 6}

ydx+((x-1)/(2x^3y))dy=0

y d x + (\frac{x - 1}{2 x ^{3} y}) d y = 0

(dy)/(dx)3x^2-3y^2=4

\frac{d y}{d x} 3 x^{2} - 3 y^{2} = 4