a) i. Express in terms of the unit step function, the piecewise continuous causal functions 0 5 (2t?, F(t) = ii. Use Laplace transforms to solve the initial value problem a) y"+16y = 4cos3t + 8(t – n/3) where y(0) = 0 and y'(0) = 0. or B) y' – 3y = F(t), where y(0) = 0 and (sint, 0 < F(t) = 1, iii Form partial differential equation from z = ax - -y+ b a+1 NIN V

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A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.