Solve for the differential equation of the given solution 1. y = C1e7*cos9x – C2e7*sin9x %3D

Q: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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Q: Find a general solution to the given equation. y""-7y"+11y'-5y = 9e + sinx Write a general solution…

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Q: csc³x dy = cot?y dx 2. when X =T

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Q: Solve for the particular solution of y' = 1/1 e 42 +3 sin 2x when x = 0 and y = 1

A: The differential equation is given by y' = 12e4x+3sin2x The initial condition is  y0 = 1 To…

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: dy +xsin 2y = x cos² y. dx Solve the Bernoulli equation.

A: Given: y' + xsin2y = x3cos2y ⇒y' + 2xsinycosy = x3cos2y ⇒y'sec2y + 2xtany = x3 Now, let tany = v ⇒…

Q: y" – 2y" + 3y' = x² + cos3x

A: Answer

Q: Given the differential equation: D°(sin x- cos x+ 3e* +x²) What is the final derivative in the given…

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Q: Use an appropriate substitution to solve the differential equation (y - xeos² (2)) d. dx - x dy = 0.

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Q: the differential equati on 21?y -dy-34=5€ dx Solve

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: Solve the differential equation in which y is the displacement of a object at timet. * + 64 + 7y =…

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Q: The complementary function (C.F.) of the differential equation : (D² + 9²)y = sin 3x is Cjeda + C2e…

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Q: dy <ニ0i4 cin メ+ cosxe 6. 2 cos X =

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Q: y(s) = (s+2)² +1 e2" (cos t - 2 sin t) -2t e" (cost – 2 sin t) A.) B.) e-2"(cos t + 2 sin t) e2"…

A: Correct ans is option A

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C