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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

cos(3y)dy+sin(2x)dx=0

cos (3 y) d y + sin (2 x) d x = 0

(dx)/(dt)+cos(t)x=cos(t),x(0)=2

\frac{d x}{d t} + cos (t) x = cos (t), x (0) = 2

(dr)/(dt)=-4rt,r=r_{0}(t),t=0

\frac{d r}{d t} = - 4 r t, r = r_{0} (t), t = 0

y^'-(x^2y-y)/(y+4)=0,y(3)=1

y^{^{'}} - \frac{x ^{2} y - y}{y + 4} = 0, y (3) = 1

(e^m+1)^2e^{-m}dt+(e^t+1)^3e^{-t}dm=0

(e^{m} + 1)^{2} e^{- m} d t + (e^{t} + 1)^{3} e^{- t} d m = 0