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Beliebt Rechnen >

(x^2+9)(dy)/(dx)+xy-8x=0

Lösung

(x^{2} + 9) \frac{d y}{d x} + x y - 8 x = 0

Lösung

y = \frac{c _{1}}{x ^{2} + 9} + 8

Schritte zur Lösung

(x^{2} + 9) \frac{d y}{d x} + x y - 8 x = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 9} + 8

y = \frac{c _{1}}{x ^{2} + 9} + 8

Graph

Beliebte Beispiele

y+6y^'+13y=10,e^{2t}y=-13

y + 6 y^{^{'}} + 13 y = 10, e^{2 t} y = - 13

(dy)/(dt)=5-7/400 y

\frac{d y}{d t} = 5 - \frac{7}{400} y

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

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

x^2sin(y)dx-cot(y)dy=0

x^{2} sin (y) d x - cot (y) d y = 0

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

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