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Beliebt Rechnen >

x^2sin(3y)+cos(3y)(dy)/(dx)=4x^2

Lösung

x^{2} sin (3 y) + cos (3 y) \frac{d y}{d x} = 4 x^{2}

Lösung

y = \frac{arcsin ( e ^{- x^{3} + c_{1}} + 4 )}{3} + \frac{2 πn}{3}, y = \frac{π}{3} + \frac{arcsin ( - e ^{- x^{3} + c_{1}} - 4 )}{3} + \frac{2 πn}{3}

Schritte zur Lösung

x^{2} sin (3 y) + cos (3 y) \frac{d y}{d x} = 4 x^{2}

Solve separable ODE:

y = \frac{arcsin ( e ^{- x^{3} + c_{1}} + 4 )}{3} + \frac{2 πn}{3}, y = \frac{π}{3} + \frac{arcsin ( - e ^{- x^{3} + c_{1}} - 4 )}{3} + \frac{2 πn}{3}

y = \frac{arcsin ( e ^{- x^{3} + c_{1}} + 4 )}{3} + \frac{2 πn}{3}, y = \frac{π}{3} + \frac{arcsin ( - e ^{- x^{3} + c_{1}} - 4 )}{3} + \frac{2 πn}{3}

Graph

Beliebte Beispiele

(dy)/(dx)-5(dy)/(dx)+6y=0

\frac{d y}{d x} - 5 \frac{d y}{d x} + 6 y = 0

(dy)/(dt)=yt^2-y

\frac{d y}{d t} = y t^{2} - y

xy-x(dy)/(dx)=2x,y(-1)=3

x y - x \frac{d y}{d x} = 2 x, y (- 1) = 3

(dx)/(dy)=50-x/(100)

\frac{d x}{d y} = 50 - \frac{x}{100}

(dy)/(dx)=0.04-y/a

\frac{d y}{d x} = 0.04 - \frac{y}{a}