(dy)/(dx)y=xsin(x)

Lösung

\frac{d y}{d x} y = x sin (x)

y = - 2 x cos (x) + 2 sin (x) + c_{1}, y = - - 2 x cos (x) + 2 sin (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = x sin (x)

Solve separable ODE:

y = - 2 x cos (x) + 2 sin (x) + c_{1}, y = - - 2 x cos (x) + 2 sin (x) + c_{1}

y = - 2 x cos (x) + 2 sin (x) + c_{1}, y = - - 2 x cos (x) + 2 sin (x) + c_{1}

in t e g r a l \frac{1}{( y ^{2} )}

d er i v a t i v e \frac{d}{d x} \frac{1}{( ( 1 - x ) ^{2} )}

in t e g r a l f (x) = cos (x)

d er i v a t i v e \frac{d}{d x} (\frac{1}{( x )})

a rc l e n g t h x = \frac{( y ^{4} )}{8} + \frac{1}{( 4 y ^{2} )}, 1 \leq y \leq 3