Use Laplace Transforms

Y”(t) + 4y(t) = f(t) with y(0) = 1, y’(0) = 1, where

f(t) = { 4t, 0 < t < 1

{ 4, t > 1

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- Jul 19th 2012, 04:14 PMcomputersdifferential equations
Use Laplace Transforms

Y”(t) + 4y(t) = f(t) with y(0) = 1, y’(0) = 1, where

f(t) = { 4t, 0 < t < 1

{ 4, t > 1 - Jul 19th 2012, 08:01 PMBAdhiRe: differential equations
can you explain what you've tried so far please,

anyway here's the first thing you can do,

write f(t) as a function of unit step

$\displaystyle f(t)=4t[u(t)-u(t-1)]+4u(t-1)$