Solve the ODE with differentials operator (D²+4)y= cos(2x) + cos (4x)

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A: Given: (xy2+y)dx-x dy=0

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: Solve Initial value problem i. 8cos?ydx + cosec²xdy=0, y() = dy _ x(r+1) 4y3 y(0) =- 1/V2 ii. dx

A: "Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

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A: Integration is a technique of finding a function  the derivative of which, , is equal to a given…

Q: find y' y=cos(3x)+cot(5x)

A: We have to find derivative of f(x),where f(x) is given by:

Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: Use the method of undetermined coefficients or the method of differential operators to find one…

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Q: Can you provide 1 example of Differential Operators (4th order 1 Imaginary and 1 Repeated Distinct…

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Q: 5

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Q: sinx

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Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: Simplify the expression xyz + x’y + x’y’

A: We have to simplify the expression xyz+x'y+x'y'.

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: f(x) = cos3(4x-1) Differentiate the equation

A: Given that: f(x)=cos3(4x-1)

Q: Ssin8 (3z) cos5 (3z) dz

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Q: tan(h2x) 2tan(hx) 1+ tan(h²x,

A: It is known that tanh2x=sinh2xcosh2x also sinh2x=2sinhxcoshx and cosh2x=cos2hx+sin2hx Substitute the…

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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Q: cos(2x) dx sinx+cosx dx Vex

A: Find your answer below

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

A: