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Beliebt Rechnen >

(dy)/(dx)-y/x =x^2

Lösung

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

Lösung

y = \frac{x ^{3}}{2} + c_{1} x

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{3}}{2} + c_{1} x

y = \frac{x ^{3}}{2} + c_{1} x

Graph

Beliebte Beispiele

limit as x approaches 0+of 12cos(12x)

x \to 0 + lim (12 cos (12 x))

xy^'+2y=sin(x),y(pi)= 1/pi

x y^{^{'}} + 2 y = sin (x), y (π) = \frac{1}{π}

integral of 1/(sqrt(r^2-x^2))

\int \frac{1}{r ^{2} - x ^{2}} d x

implicit (dy)/(dx),xy=6

im pl i c i t \frac{d y}{d x}, x y = 6

(\partial)/(\partial y)(x+2y^{1/2})

\frac{\partial}{\partial y} (x + 2 y^{\frac{1}{2}})