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Beliebt Rechnen >

(x^2+4)y^'+8xy=2x

Lösung

(x^{2} + 4) y^{^{'}} + 8 x y = 2 x

Lösung

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

Schritte zur Lösung

(x^{2} + 4) y^{'} (x) + 8 x y = 2 x

Solve separable ODE:

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

Graph

Beliebte Beispiele

(dy)/(dt)=((50-y))/(10)

\frac{d y}{d t} = \frac{( 50 - y )}{10}

(dy)/(dx)=3xsqrt(y),y\ne 0

\frac{d y}{d x} = 3 x y, y \neq = 0

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

(x-4)2y-5(x-4)y^'+9y=0

(x - 4) 2 y - 5 (x - 4) y^{^{'}} + 9 y = 0

(dy)/(dx)y=7x-5

\frac{d y}{d x} y = 7 x - 5