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Beliebt Rechnen >

(x^2}{y^2-1}(dy)/(dx)=\frac{3x^3)/y

Lösung

\frac{x ^{2}}{y ^{2} - 1} \frac{d y}{d x} = \frac{3 x ^{3}}{y}

Lösung

y = e^{3 x^{2} + c_{1}} + 1, y = - e^{3 x^{2} + c_{1}} + 1

Schritte zur Lösung

\frac{x ^{2}}{y ^{2} - 1} \frac{d y}{d x} = \frac{3 x ^{3}}{y}

Solve separable ODE:

y = e^{3 x^{2} + c_{1}} + 1, y = - e^{3 x^{2} + c_{1}} + 1

y = e^{3 x^{2} + c_{1}} + 1, y = - e^{3 x^{2} + c_{1}} + 1

Graph

Beliebte Beispiele

(dQ)/(dt)+0.05Q=0

\frac{d Q}{d t} + 0.05 Q = 0

y^'+(cos(x))y=5cos(x)

y^{^{'}} + (cos (x)) y = 5 cos (x)

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

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

x^'=((x^2+x))/((2x+1))

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

3=(pih^2)/4 (dh)/(dt)

3 = \frac{π h ^{2}}{4} \frac{d h}{d t}