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Beliebt Rechnen >

y^'=(xy^2-0.5sin(2x))/(y(1-x^2))

Lösung

y^{^{'}} = \frac{x y ^{2} - 0.5 sin ( 2 x )}{y ( 1 - x ^{2} )}

Lösung

y = \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}, y = - \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}

Schritte zur Lösung

y^{'} (x) = \frac{x y ^{2} - 0.5 sin ( 2 x )}{y ( 1 - x ^{2} )}

Solve Bernoulli ODE:

y = \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}, y = - \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}

y = \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}, y = - \frac{- cos ( 2 x ) - c _{1}}{2 ( x + 1 ) ( x - 1 )}

Graph

Beliebte Beispiele

y^{'''}+2y^{''}+y^'=0

limit as x approaches a of 9

inverselaplace (2s+1)/(s^2+2s+5)

tangent y=x^2+x+3,\at x=3.99

integral of xsec(2)(x)