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Beliebt Rechnen >

6t(dy)/(dt)+y=sqrt(t)

Lösung

6 t \frac{d y}{d t} + y = t

Lösung

y = \frac{t}{4} + \frac{c _{1}}{6 t}

Schritte zur Lösung

6 t \frac{d y}{d t} + y = t

Solve linear ODE:

y = \frac{t}{4} + \frac{c _{1}}{6 t}

y = \frac{t}{4} + \frac{c _{1}}{6 t}

Graph

Beliebte Beispiele

derivative 3x^2-3

d er i v a t i v e 3 x^{2} - 3

derivative x^5sin(x)

d er i v a t i v e x^{5} sin (x)

limit as x approaches 0 of (1-cos^2(3x))/(x^2)

x \to 0 lim (\frac{1 - cos ^{2} ( 3 x )}{x ^{2}})

derivative f(x)=3arcsin(x^4)

d er i v a t i v e f (x) = 3 arcsin (x^{4})

integral from 0 to 1 of 3x^2

\int_{0}^{1} 3 x^{2} d x