. Let A = -1 -1)· (a) Find a fundamental set of real solutions and hence a real fur F(t) of r' = Ar. (b) Compute (F(0))-1 and use it together with F(t) to find e4. (c) Use eAt to solve the initial value problem z' = Ag, z(0) = ( ;

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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.