Statement 1: IF ya (t) and y, (t) are two solutions of the nonhomogeneous equation y" (t) + py (t) + qy(t) = f(t) THEN Ya (t) + Yi (t) is also a solution of the same problem. Statement 1 is: False Statement 2: IF y1 (t) is a solution of the differential equation y" (t) + py (t) + qy(t) = f1 (t) and Y2 (t) is a solution of the differential equation 3" (t) + py (t) + qy(t) = f2 (t) THEN y1 (t) + Y2(t) is a solution of the differential equation y" (t) + py (t) + qy(t) = fi (t) + f2(t). Statement 2 is: True

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A: Solving the differential equation

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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.