Verify that x(t)= C1et+C2 is a solution to x"-x'=0. Find C1 and C2 so that x(t) satisfies x(0)=10 and x'(0)=100. Sketch a graph of the solution x(t) given the calculated values of C1 and C2.

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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.