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Beliebt Rechnen >

(dy)/(dx)=(2y+3)/(x^2)

Lösung

\frac{d y}{d x} = \frac{2 y + 3}{x ^{2}}

Lösung

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 y + 3}{x ^{2}}

Solve separable ODE:

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

Graph

Beliebte Beispiele

(xy-2x+4y-8)dy-(xy+3x-y-3)dx=0

(x y - 2 x + 4 y - 8) d y - (x y + 3 x - y - 3) d x = 0

yy^'+6x=0,y^2(0)=-6x^2+c,y(0)=4

y y^{^{'}} + 6 x = 0, y^{2} (0) = - 6 x^{2} + c, y (0) = 4

y^'=-3/7 e^{3y}

y^{^{'}} = - \frac{3}{7} e^{3 y}

x y^{^{'}} - 3 y + 2 = 0

(dy)/(dx)=6yln(2/y)

\frac{d y}{d x} = 6 y ln (\frac{2}{y})