(1 point) Find the function y of t which is the solution of 64y" – 25y = 0 yı (0) = 1, y (0) = 0. with initial conditions Find the function y, of t which is the solution of 64y" - 25у %3D 0 with initial conditions Y2 (0) = 0, ½(0) = 1. Y2 = Find the Wronskian W (t) = W(y1, y2). W (t) Remark: You can find W by direct computation and use Abel's theorem as a check. You should find that W is not zero and so yı and y, form a fundamental set of solutions of 64y" – 25y = 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.