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Beliebt Rechnen >

t^2y^'+ty=3,y(1)=6

Lösung

t^{2} y^{^{'}} + t y = 3, y (1) = 6

Lösung

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

Schritte zur Lösung

t^{2} y^{'} (t) + t y = 3

Solve linear ODE:

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

Graph

Beliebte Beispiele

derivative f(x)=9x

d er i v a t i v e f (x) = 9 x

fläche y=-x,y= 1/2 x-3/2 ,x=-1,x=3

a re a y = - x, y = \frac{1}{2} x - \frac{3}{2}, x = - 1, x = 3

derivative (x^2)/((3+x))

d er i v a t i v e \frac{x ^{2}}{( 3 + x )}

integral of 1/(9x+4)

\int \frac{1}{9 x + 4} d x

integral of (3x+1)/(x^{2/3)}

\int \frac{3 x + 1}{x ^{\frac{2}{3}}} d x