If y, = u1 (t) cos(5t) + u2(t) sin(5t) is a particular solution of the differential equation y" + 25y = sec(5t) tan(4t), then us (t) = %3D Select one: 1 In cos(5t)| 25 1 In cos(5t)| 25 1 t+ tan(5t) 25 O none of the given answers is true 1 tan(5t) 25 O 1 -

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A: Question is solved.

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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

A: We will find the Differential equation.

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Q: Find a suitable form for particular solution of the differential equation y" - 4y' + 13y te"…

A: 1st is correct answer see the solution on step 2

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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: If y, = e2z is a particular solution of the nonhomogeneous differential equation y" + 81y = 85e 2…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

A: The correct answer is option A. The given equation is  y5+y3=x+cosx The general form of…

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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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A: topic - differential equations

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A: Solution of the given Differential Equation

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

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Q: 1. Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)…

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A: Given Differential Equation is 2nd order  Option (5) is Correct

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Q: 13) The linear differential equation whose general solution is given by x = Aet + Btet + cos(3t)…

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Q: 12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2…

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A: We have to find general solution of given differential equation.

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A: We have to solve given problem:

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A: Second option is correct answer . Thankyou!

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A: Solution is given below:

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.