2. Find the particular solution of the differential equation (1 – cos(2t)). dt da a sin(2t) given that a(7/2) = 2.

Q: Find numbers A and B such that y(x) = A· cos(7-x) + B. sin(7x) satisfies the following differential…

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Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

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Q: d²y dy + 2b +y = 0 dx dx2

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Q: Solve the following differential equation using determination of integrating factors: 2y (x2 - y +…

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Q: Verify that the given function y = sin (x2 + C ) is a solution of the given differential equation:…

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Q: Q-4. Form the first-order differential equation of y = e(sin y+æ)

A: Our aim is to form the first order differential equation.

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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

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Q: solve the following first-order differential equations by first finding the integrating factor:…

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Q: erential equation: an y = x2. If y(0) e value (corrected up fy(1)?

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Q: 1. Form the differential equation by eliminating the constant A and B from y = emx (A cos nx + B sin…

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Q: Show that w(t) =〈sin(3t + 4),sin(3t − 2)〉, cos 3t satisfies the differential equation w''(t) =…

A: Given- wt=<sin3t+4,sin3t-2>,cos3t To prove- That the above expression satisfies the…

Q: Determine the solution of the differential equation dy y cot x = cosx dæ

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Q: Solve the differential equation dy + 2y sin x cos x = 4cosx dx cos?x subject to y = 3 when x = .…

A: The given differential equation is cos2xdydx+2ysinxcosx=4cos5x.....(1) with condition y=3 when x=π6

Q: dy 5. dt = e&-t)secy(1+ t²). %3D

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Q: dI + 501 = 5; where I(0) = 0. dt

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +…

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)…

Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

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Q: The degree of the differential equation (y") +y' – y = x is а. 2 с. 1 h no decree

A: We are asked to find the degree of the differential equation.

Q: Obtain the differential equation associated with the given non-derivative equation in x and y. y =…

A: Given that obtain the differential equation associated with the given non-derivative equation in x…

Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

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Q: Q4 A) Solve the following separable differential equation dx = x2 - 2x + 1 dt

A: Let's solve diffrential equation.