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Beliebt Rechnen >

y^'=xsin(x)+xcos(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int x sin (x) + x cos (x) d x

\int x sin (x) + x cos (x) d x = - x cos (x) + sin (x) + x sin (x) + cos (x) + c_{1}

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

Graph

Beliebte Beispiele

laplacetransform cos(4x)

l a pl a ce t r an s f or m cos (4 x)

tangent-6/((3x+5)^2)

t an g e n t - \frac{6}{( 3 x + 5 ) ^{2}}

(y+xcot(y/x))dx-xdy=0

(y + x cot (\frac{y}{x})) d x - x d y = 0

limit as x approaches 6 of ((1/x-1/6))/(x-6)

x \to 6 lim (\frac{( \frac{1}{x} - \frac{1}{6} )}{x - 6})

(dy)/(dx)=-(1+y)^4

\frac{d y}{d x} = - (1 + y)^{4}