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Beliebt Rechnen >

(tdQ)/(dt)+Q=t^4ln(t)

Lösung

\frac{t d Q}{d t} + Q = t^{4} ln (t)

Lösung

Q (t) = \frac{t ^{4} ln ( t )}{5} - \frac{t ^{4}}{25} + \frac{c _{1}}{t}

Schritte zur Lösung

\frac{t d Q ( t )}{d t} + Q (t) = t^{4} ln (t)

Solve linear ODE:

Q (t) = \frac{t ^{4} ln ( t )}{5} - \frac{t ^{4}}{25} + \frac{c _{1}}{t}

Q (t) = \frac{t ^{4} ln ( t )}{5} - \frac{t ^{4}}{25} + \frac{c _{1}}{t}

Graph

Beliebte Beispiele

derivative of 1/(e^{sqrt(x)})

\frac{d}{d x} (\frac{1}{e ^{x}})

tangent f(x)=2x^2-5x+1,\at x=2

t an g e n t f (x) = 2 x^{2} - 5 x + 1, at x = 2

steigung (-3,1),(2,-1)

s l o p e (- 3, 1), (2, - 1)

derivative of log_{10}(x^2)

\frac{d}{d x} (lo g_{10} (x^{2}))

derivative of (x-1/x (x^2-1/x-4))

\frac{d}{d x} ((x - \frac{1}{x}) (x^{2} - \frac{1}{x} - 4))