2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differential equation d²y dx² +y = 0 Hence, find the solution of this equation subject to the following boundary conditions y(0) = 1, yGr) = 1

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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Q: For the second-order differential equation y" + 9y = 6 cos x: a. Show that y = cos x is a solution.…

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Q: Solve the second order differential equation ÿ + 3y = x3 + sin x sinx +글stnx +sinx D: y = c,cosv3x +…

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A: B. 3

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Q: (2) The particular solution y,(x) to the differential equation y" + 100y = sec2 (10x) is of the %3D…

A: Given y"+100y=Sec2(10x) ---1Compairing with y"+q(x)y'+r(x)y=g(x).Auxilliary equation corresponding…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: Note the following chain rule of differentiation : For a differentiable function y=1f(x)  , y' =…

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Q: ) In an Initial Value Problem (IVP) of the 2nd order ODE, the required initial conditions are and )…

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Q: Show that an implicit solution of 2x sin2(y) dx – (x² + 11) cos(y) dy = 0 is given by In(x + 11) +…

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Q: 8. (2 + y cos x) dx + x cos x dy = 0 Ans: In(sec x + tan x) + xy = c

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Q: 2a Please help me with my reviewer, provide the whole solution so that I can understand thank you

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Q: The general solution of the differential equation d²y + 6y = sin 4x is dx2 sin 4x O y= c¡ cos/6x +…

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Q: (1) Consider the differential equation Vy – 1 y' = x – 2 with the initial condition y (xo) = What…

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Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

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