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Beliebt Rechnen >

(dy)/(dx)=(y-1)/(x^2sqrt(4+x^2))

Lösung

\frac{d y}{d x} = \frac{y - 1}{x ^{2} 4 + x ^{2}}

Lösung

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{y - 1}{x ^{2} 4 + x ^{2}}

Solve separable ODE:

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

Graph

Beliebte Beispiele

(dP)/(dt)=7sqrt(Pt)

\frac{d P}{d t} = 7 Pt

2 x y = \frac{d y}{d x}

y^'(x)=(15+3x^2)/(3y^2-12y),y(0)=2

y^{^{'}} (x) = \frac{15 + 3 x ^{2}}{3 y ^{2} - 12 y}, y (0) = 2

y^{^{'}} - 2 t y = 0

(dy)/(dx)= 1/5 sqrt(y)cos^2(sqrt(y))

\frac{d y}{d x} = \frac{1}{5} y cos^{2} (y)