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Beliebt Rechnen >

xy^'=y+x^2sin(x),y(pi/2)=0

Lösung

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{2}) = 0

Lösung

y = - x cos (x)

Schritte zur Lösung

x y^{'} (x) = y + x^{2} sin (x)

Solve linear ODE:

y = - x cos (x)

y = - x cos (x)

Graph

Beliebte Beispiele

sum from n=0 to infinity of (x+3)^n

n = 0 \sum \infty (x + 3)^{n}

integral from 0 to pi/2 of 6sin^2(3x)

\int_{0}^{\frac{π}{2}} 6 sin^{2} (3 x) d x

x*(dy)/(dx)-y=sqrt(x^2+y^2)

x \cdot \frac{d y}{d x} - y = x^{2} + y^{2}

derivative of 64sin(4x)

\frac{d}{d x} (64 sin (4 x))

d/(dt)((2t)/(2t^2+1))

\frac{d}{d t} (\frac{2 t}{2 t ^{2} + 1})