9. Let y (t) be the solution of the initial value problem y" + y = u/2(t)+ 38(t – 37/2) – u2m (t) y (0) = 0 and y' (0) = 0 Find the value of y ? A) 1 B) 0 C) 3 D) 2 E) ∞

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Q: The DE t (t - 3) y" + 3ty - y = 1² has initial conditions y (1) = Yo, y' (1) = Y₁ where Yo and Y₁…

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Q: C) (2)'y(-1) = 0. n Find the general solution of o (:) (2)*y(n-i) =

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Q: 5. Find a solution f(x) to the equation (D3 – D² + D – 1)f(x) = 0 %3D such that f(0) = 1, f'(0) = 0,…

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Q: 1. Find dy/dx a) y = In (2x² – 3x) %3D b) y = [e" dt ) d) y = In|sec(x)+ tan(x) e) y = 7std*) S)y =…

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Q: Let A 22 = - (²3) 11 Find the solution of the problem: X Y = AY + [*]. Y = (0) -X

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Q: Find a solution f(x) to the equation (D³ – D² + D – 1)f(x) = 0 | such that f(0) = 1, f'(0) = 0, ƒ(^)…

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Q: het LC42= усад ху(8) - 79 (2) - да тау al soluc: hey? = 36t - 242t > юные' = ба усо) =y'co) = y" (o)…

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Q: 20) Using the method of variation of parameters, the form of a particular solution of (D2+25)y-4x²-3…

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Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

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Q: Calculate r'(t) and T(t), where r'(t) = ( T(t) = ( 2 r(t) = (4t — 6,1 – 6t, 9 + 5t). "

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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.