d2 Let D =,D² = . be the differential operators. When determinant dt2' method is applied to the system of differential equations dx 3 2х — у+е-4*, dt dy = x – 3y – e-5t dt which of the following is the value of the determinant of coefficient matrix of the system? a) D² + 2D – 3 b) D² + 3D – 2 c) D² – D +1 d) D² + D – 2 e) D² + D – 5

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Q: 4. y= cje²*+c2xe²*

A: Please see the below picture for detailed solution.

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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.