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Beliebt Rechnen >

(x+2)(dy)/(dx)+y=ln(x),y(1)=20

Lösung

(x + 2) \frac{d y}{d x} + y = ln (x), y (1) = 20

Lösung

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

y = \frac{x ln ( x )}{x + 2} - \frac{x}{x + 2} + \frac{61}{x + 2}

Graph

Beliebte Beispiele

fläche x,x^2,0,1

a re a x, x^{2}, 0, 1

(\partial)/(\partial y)(x^2y+y^2z)

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

derivative of 1/(x(x+1))

\frac{d}{d x} (\frac{1}{x ( x + 1 )})

integral of (3t+3)^{2.2}

\int (3 t + 3)^{2.2} d t

derivative y=6x-11

d er i v a t i v e y = 6 x - 11