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Beliebt Rechnen >

(dy)/(dx)=8xsqrt(9-y^2)

Lösung

\frac{d y}{d x} = 8 x 9 - y^{2}

Lösung

y = 3 sin (4 x^{2} + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = 8 x 9 - y^{2}

Solve separable ODE:

y = 3 sin (4 x^{2} + c_{1})

y = 3 sin (4 x^{2} + c_{1})

Graph

Beliebte Beispiele

y^{^{'}} = \frac{x ^{2} - 2}{y}

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

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

yy^'-sin(x)=0,y(pi)=1

y y^{^{'}} - sin (x) = 0, y (π) = 1

csc(y)dy+sec^2(x)dx=0

csc (y) d y + sec^{2} (x) d x = 0

y^'=(3xe^x)/(ysqrt(5+y^2))

y^{^{'}} = \frac{3 x e ^{x}}{y 5 + y ^{2}}