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Beliebt Rechnen >

(dy)/(dx)+9x^2y=27x^2

Lösung

\frac{d y}{d x} + 9 x^{2} y = 27 x^{2}

Lösung

y = e^{- 3 x^{3} + c_{1}} + 3

Schritte zur Lösung

\frac{d y}{d x} + 9 x^{2} y = 27 x^{2}

Solve separable ODE:

y = e^{- 3 x^{3} + c_{1}} + 3

y = e^{- 3 x^{3} + c_{1}} + 3

Graph

Beliebte Beispiele

(dx)/(dt)=18-18/100 x

\frac{d x}{d t} = 18 - \frac{18}{100} x

3.03y^'+0.755y=6.05

3.03 y^{^{'}} + 0.755 y = 6.05

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

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

(dx)/(3sin(y))=(4dy)/(5sin(x))

\frac{d x}{3 sin ( y )} = \frac{4 d y}{5 sin ( x )}

xe^{-y}dy+(x^2+1)/y dx=0

x e^{- y} d y + \frac{x ^{2} + 1}{y} d x = 0