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Beliebt Rechnen >

q^'+q/(20+t)=1,q(0)=5

Lösung

q^{^{'}} + \frac{q}{20 + t} = 1, q (0) = 5

Lösung

q (t) = \frac{20 t}{20 + t} + \frac{t ^{2}}{2 ( 20 + t )} + \frac{100}{20 + t}

Schritte zur Lösung

q^{'} (t) + \frac{q ( t )}{20 + t} = 1

Solve linear ODE:

q (t) = \frac{20 t}{20 + t} + \frac{t ^{2}}{2 ( 20 + t )} + \frac{100}{20 + t}

q (t) = \frac{20 t}{20 + t} + \frac{t ^{2}}{2 ( 20 + t )} + \frac{100}{20 + t}

Graph

Beliebte Beispiele

derivative x^8(x-3)^7

d er i v a t i v e x^{8} (x - 3)^{7}

sum from n=0 to infinity of 5/(4^{n+1)}

n = 0 \sum \infty \frac{5}{4 ^{n + 1}}

limit as x approaches o of (sin(4x))/x

x \to o lim (\frac{sin ( 4 x )}{x})

f^'(x)= 1/(sqrt(x))

f^{^{'}} (x) = \frac{1}{x}

f(x)=sqrt(1+3x)

f (x) = 1 + 3 x