y = c,e3x + c,e-X – 2x is a two-parameter family of the second-order DE y" – 2y' – 3y = 6x + 4. Find c, and c, given the following initial conditions. (Your answers will not contain a variable.) y(-1) = 0, y(-1) = 1 %3D %3D C1 C2 Find a solution of the second-order IVP consisting of the differential equation and the given initial conditions. y(x) = %3D

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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.