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Beliebt Rechnen >

x(dy)/(dx)+y=x^2sin(x)

Lösung

x \frac{d y}{d x} + y = x^{2} sin (x)

Lösung

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

Schritte zur Lösung

x \frac{d y}{d x} + y = x^{2} sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from-pi to pi of sin^2(xco)s^3x

\int_{- π}^{π} sin^{2} (x co) s^{3} x d x

((x^2+3)dy)/(dx)=xy

\frac{( x ^{2} + 3 ) d y}{d x} = x y

derivative y=((t^2)/(t^3-4t))^3

d er i v a t i v e y = (\frac{t ^{2}}{t ^{3} - 4 t})^{3}

\frac{d y}{d x} = y e^{x}

integral of-2x^2(x^3+6)^4

\int - 2 x^{2} (x^{3} + 6)^{4} d x