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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{c_{1}} + e^{c_{1}} x^{2}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x^{2}

y = e^{c_{1}} + e^{c_{1}} x^{2}

Graph

Beliebte Beispiele

(dy)/(dx)=(5x^4)/(3y^2e^{y^3)}

\frac{d y}{d x} = \frac{5 x ^{4}}{3 y ^{2} e ^{y^{3}}}

u^'=6e^{7x-\H(x)}

u^{^{'}} = 6 e^{7 x - H (x)}

(dy)/(dx)=sqrt(9.8y)

\frac{d y}{d x} = 9.8 y

y^{^{'}} = - 3 y + 2

x^2(dy)/(dx)=sqrt(y)(4x+5)

x^{2} \frac{d y}{d x} = y (4 x + 5)