Given that yp, = 3e is a particular solution of y"- 6y' +5y = -9e2", and YP2 = x? +3x is a particular solution of y"- 6y' +5y = 5x2 +3x – 16- Which one of the following is the particular solution of the differential equation y" – 6y'+ 5y = 70x2 +42x – 224 – 45e2x. OA y = 70x2 +15x+14e2 OB. y = 14x3 +42x-45e2 OCy = 14x2 +42r+15e2 ODy = 5x2+42+14e2 OE y= 15x2-45x+14e2x

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Q: show the complete solution using differential equation

A: As per the guidelines we can solve 1 part only

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.