The complementary solution of following Differential Equation y-3y"+4y' -2y e+ cos x

Q: Find the general solution of the differential equation y" + 2y' + 4y = e* sin 2x + æ?

A: the given equation is  y''+2y'+4=exsin2x+x2 Auxiliary equation corresponding to the equation is…

Q: O Solve the differential equation y' + y cot x = y* sin x.

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Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

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Q: у" + 25у %3D 5 tan? (5x) сos(5x) 2.

A: Given the DE is y''+25y=5tan25xcos5x. To solve this DE use the variation of parameters method.

Q: dy +(cos x)y = sin²(x) using first order linear differential equation. dx Solve (sin x) %3D

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Q: Find an example of two unbounded sequences , such that their product gives a bounded sequence.

A: Consider the two unbounded sequences

Q: Solve the following Second Order Differential Equation y"+2y'+ y = sin (2t)

A: # Given ODE  is       y''+2y'+y=sin 2t‐‐‐‐1

Q: A tank originally contains 500 gallons of pure water. Brine containing 2 lb of salt per gallon is…

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Q: y' – 3y + 2y = cos(e*)

A: Given: y" -3y' +2y= cos(e-x) Solution:

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: The solution of the following linear differential equation : – (cosx)y + 2xe”si sản x is: dx y =…

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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: dx - x = (-²/cost) x³ dt 2t 2

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Q: Obtain in factored form of a linear differential equation with real, constant coefficients that is…

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Q: Solve the following differential equation with Bernoulli differential equation…

A: (-x2-y2-x)dx+(-xy)dy=0 Above ODE can be written as  dydx=(-x2-y2-x)(xy)y'=(-x2-y2-x)(xy)

Q: 3 (d²x)². 7 2 y (dx)² + y ² (dx) ² + 3y || 5x

A: Order of a differential equation  The order of the differential equation is highest order of the…

Q: Solve the differential equation A. y = x² +cos3x + C B. y = x² + cos 3x + C dy dx = 2x + sin 3x. C.…

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Q: 2. y" + 25y = 5 tan² (5x) cos(5x)

A: The given problem is to solve the given differential equation, we have to solve it by using…

Q: Solve the following differential equations of · yy'+ y´ = x; Linear Differential Equation

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Q: Determine the solution of the differential equation dy cos? x sinx dx + (cos³ x)y = 1 a. y = tanx +…

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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.