Rewrite the following systems of differential equations as first order systems, written in the standard way (i.e. in the same form as in the previous two problems). To do that, you will need to introduce new unknowns and equations. You do not need to find the solution to the resulting first order systems. a) Rewrite the differential equation as a first order system: y'''-3y''+4y = 3cost b) Rewrite the system of differential equations as a first order system:  x1''+ 2x2' + 5x1'= e4t x2''+ 6x1 − x2 = e3t

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Q: Solve the given system of differential equations by systematic elimination. (D + 1)x + (D - 1)y = 6x…

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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.