Consider the nonhomogeneous equation x"(1) + ax'(1) + bx(t) = Al). If At) is a constant, say c, then find a solution of this equation under the conditions (i) if b #0 (ii) if b= 0 and a ±0 (iii) if a = b= 0. (CLO-1, PLO-2) b) Also find the solution to above equation given in part when (t) = 2sin t + cos t. (CLO-1, PLO-2)

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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.