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Beliebt Rechnen >

x(x+1)(dy)/(dx)+xy=1,y(e)=1

Lösung

x (x + 1) \frac{d y}{d x} + x y = 1, y (e) = 1

Lösung

y = \frac{ln ( x )}{x + 1} + \frac{e}{x + 1}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{ln ( x )}{x + 1} + \frac{e}{x + 1}

y = \frac{ln ( x )}{x + 1} + \frac{e}{x + 1}

Graph

Beliebte Beispiele

((sqrt(x)+x)dy)/(dx)=sqrt(y)+y

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

derivative f(x)=x^2-4

d er i v a t i v e f (x) = x^{2} - 4

integral of 1/(x^2(x+1)^2)

\int \frac{1}{x ^{2} ( x + 1 ) ^{2}} d x

tangent 7x-4sqrt(x)

t an g e n t 7 x - 4 x

y^{^{'}} - y^{\frac{5}{3}} = 0