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Beliebt Rechnen >

(dy)/(dt)+2/t y=t-1+y/t

Lösung

\frac{d y}{d t} + \frac{2}{t} y = t - 1 + \frac{y}{t}

Lösung

y = \frac{t ^{2}}{3} - \frac{t}{2} + \frac{c _{1}}{t}

Schritte zur Lösung

\frac{d y}{d t} + \frac{2}{t} y = t - 1 + \frac{y}{t}

Solve linear ODE:

y = \frac{t ^{2}}{3} - \frac{t}{2} + \frac{c _{1}}{t}

y = \frac{t ^{2}}{3} - \frac{t}{2} + \frac{c _{1}}{t}

Graph

Beliebte Beispiele

tangent y=9x^{5/2}-7x^{3/2},\at x=4

t an g e n t y = 9 x^{\frac{5}{2}} - 7 x^{\frac{3}{2}}, at x = 4

(dy)/(dx)-2(x+1)^3= 4/((x+1))y

\frac{d y}{d x} - 2 (x + 1)^{3} = \frac{4}{( x + 1 )} y

derivative f(x)=arctan(pi/x)

d er i v a t i v e f (x) = arctan (\frac{π}{x})

y^{^{'}} = 6 y^{2} sin (x)

integral of 1/((9x-1)^2)

\int \frac{1}{( 9 x - 1 ) ^{2}} d x