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Beliebt Rechnen >

y+sin(x)=x^3y^'

Lösung

y + sin (x) = x^{3} y^{^{'}}

Lösung

y = \frac{\int \frac{s i n ( x ) e ^{\frac{1}{2 x ^{2}}}}{x ^{3}} d x}{e ^{\frac{1}{2 x ^{2}}}}

Schritte zur Lösung

y + sin (x) = x^{3} y^{'} (x)

Solve linear ODE:

y = \frac{\int \frac{s i n ( x ) e ^{\frac{1}{2 x ^{2}}}}{x ^{3}} d x}{e ^{\frac{1}{2 x ^{2}}}}

y = \frac{\int \frac{s i n ( x ) e ^{\frac{1}{2 x ^{2}}}}{x ^{3}} d x}{e ^{\frac{1}{2 x ^{2}}}}

Beliebte Beispiele

integral of e^{4y}

\int e^{4 y} d y

limit as x approaches 0+of x^{6x}

x \to 0 + lim (x^{6 x})

derivative sqrt(s)

d er i v a t i v e s

integral of sqrt(400-x^2)

\int 400 - x^{2} d x

fläche 5cos(3x),5sin(6x),[0, pi/6 ]

a re a 5 cos (3 x), 5 sin (6 x), [0, \frac{π}{6}]