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Beliebt Rechnen >

y^'-12xy=9x

Lösung

y^{^{'}} - 12 x y = 9 x

Lösung

y = \frac{e ^{6 x^{2} + c_{1}}}{4} - \frac{3}{4}

Schritte zur Lösung

y^{'} (x) - 12 x y = 9 x

Solve separable ODE:

y = \frac{e ^{6 x^{2} + c_{1}}}{4} - \frac{3}{4}

y = \frac{e ^{6 x^{2} + c_{1}}}{4} - \frac{3}{4}

Graph

Beliebte Beispiele

e^xydy-(e^{-y}+2e^{2x-y})dx=0

e^{x} y d y - (e^{- y} + 2 e^{2 x - y}) d x = 0

(2x+xy^2)dx+(y+x^2y)dy=0

(2 x + x y^{2}) d x + (y + x^{2} y) d y = 0

3y(dy)/(dx)=11x^2

3 y \frac{d y}{d x} = 11 x^{2}

x^2*(dy)/(dx)=(-1)/(y^2),y(1)=2

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

dx+xydy=y^2dx+ydy,y(2)=3

d x + x y d y = y^{2} d x + y d y, y (2) = 3