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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{a r c s i n (x) + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{a r c s i n (x) + c_{1}}

y = e^{a r c s i n (x) + c_{1}}

Graph

Beliebte Beispiele

y^{^{'}} = 16 y - 20

(dy)/(dx)=8-15y

\frac{d y}{d x} = 8 - 15 y

(dy)/(dx)=(2x+1)/(2y),y(-2)=-1

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

\frac{1}{y} d y = - \frac{1}{x} d x

e^yy^'=((ln(t))^2)/t ,y(1)=ln(10)

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (10)