dY Given the initial value problem :) ),¥0) = (?) whose matrix has a repeated %3D dt eigenvalue A - 2, find the general solution in terms of the initial conditions. %3D 2(t) Write your solution in component form where Y(t) = ). Your answers should have the variables p %3D and q in them. Enter an answer like (2p - g)te- as (2p-q)*te^(-3t). Please note the * in this expression! Be sure to PREVIEW your answers before submitting! x(t) = %3D 2(t) Preview:

Q: 1. Consider the differential equation (which we saw on the wk 1 test) dy %3D У (у + 1)?(2 —у) dt…

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Q: Find the general solution to a?y" + 5xy' - 2y = 0. OA. y = cje 4x + cze OB. y = c1x4 + c2x1 OC. y =…

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Q: Differential Equations   Use Euler's Method to solve the differential equation: dy/dy=5⋅y+4⋅t…

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Q: ck. 3 use the annihilator method to solve the differential equation y" + 6y² + 8y = e³x - sinx

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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.