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Beliebt Rechnen >

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

Lösung

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

Lösung

y = 2 sin (1 + x^{2} + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = 2 sin (1 + x^{2} + c_{1})

y = 2 sin (1 + x^{2} + c_{1})

Graph

Beliebte Beispiele

e^{(x+y)}(dy)/(dx)=x

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

y^'=y^2-20y+100

y^{^{'}} = y^{2} - 20 y + 100

\frac{d y}{d x} y = x^{3}

y^{^{'}} = - k y^{2}

y^'=3(y-1)^{2/3},y(0)=1

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