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Beliebt Rechnen >

(tdy)/(dt)+3y=t^4,t>0,y(1)=3

Lösung

\frac{t d y}{d t} + 3 y = t^{4}, t > 0, y (1) = 3

Lösung

y = \frac{t ^{4}}{7} + \frac{c _{1}}{t ^{3}}

Schritte zur Lösung

\frac{t d y}{d t} + 3 y = t^{4}

Solve linear ODE:

y = \frac{t ^{4}}{7} + \frac{c _{1}}{t ^{3}}

y = \frac{t ^{4}}{7} + \frac{c _{1}}{t ^{3}}

Graph

Beliebte Beispiele

tangent f(x)=x^3-3x,(2,2)

t an g e n t f (x) = x^{3} - 3 x, (2, 2)

derivative of ln(1-x^3)

\frac{d}{d x} (ln (1 - x^{3}))

integral of 2+1/(x^2)

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

derivative of (1-4x^{-1})

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

derivative g(x)=6^x

d er i v a t i v e g (x) = 6^{x}