3. Solve the DE dy = x + 2x %3D a. dx 3 dy b. dx %3D dy C. -= 4 cos 6x %3D dx

Q: 211 211 cos nx dx= [cos %3D %3D nx cos nx dx =0.

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Q: Solve the DE: dy sin ) + dx II

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Q: Determine the particular solution to dy/dx= 2 sin x, y(pi)=-2

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Q: Determine the solution to this DE: Cosx dy +(y- cos"x)dn = 0 cos? x Idx = 0

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Q: solve D.E. by using homo. xsin-- ycos-) dx + xcos-dy = o

A: put y=vx dydx=v+xdvdx differential form  v+xdvdx=vxcosv-xsinvxcosv take x common and split the…

Q: Solve the following DE: dy - 5y = 0 dx

A: The given differential equation is  a first order linear differential equation in variable separable…

Q: If Xy +y.1 find the value of dy dx 2 5- at the point Co,-1)

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Q: Solve the given DE: dy ex – 2x cos y ey – x² sin y' - dx

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Q: dy (b) Solve the initial value problem = 2 sin 2x – 3 csc² x, dx = 5.

A: We can solve the given differential equation by using variable separable method.In this method…

Q: The solution of the DE dy + (y – 1) dx =0

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Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: J cos 3x cos 4x dx :

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Q: If y = (3x)sin (2æ) then %3D dy dx (Be sure to express your answer in terms of x)

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Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: Solve the following Bernoulli equation: dy - 4y-2y dx

A: We have to do variable separation.

Q: dy/dx= 4 cos 4x

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Q: If y = cos 3X find dy/dx: y = cos?3x = (cos 3x?. (cos 3x )?. %3D

A: Given, y=cos23x=cos3x2

Q: d²y Solve the following DE : dy + 2 dx + y = cos²x dx2

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Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: 14. Solve the equation d?x dx dt +2x sin 3 dr? dx given that at t= 0, x = 0 and %3D dt ment

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: dy = 6x– 2x + 1 cos y + eY %D dx

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Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: 2:Solve: cos (x+ y) dy = dx %3D

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Q: Solve the DE (ey+1)cosx dx+eysinxdy=0

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Q: d. t sin 2 dt COS dx 3

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Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: Solve the given higher order DE y" – y" + 3Dy – 5y = e*Sin 2x

A: Auxiliary equation corresponding to given differential equation: m3-m2+3m-5=0 Roots of polynomial…

Q: i. S(e** cos(2x)) dx

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Q: Solve the Linear DE dy/dx = 1+ 3y tan x

A: I have stated the used formulas in the solution.

Q: Solve the equation: dy (4x + 5)2 1 tan x · Y = 2 ,3 dx 2 cos x

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Q: 3. Solve the DE: 1 + 2.ry? ) dx + (2ya² – cos y) dy = 0, y(1) = || - -

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Q: Evaluate:

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

Q: 6x³y cos(xy²) dy dx

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Q: CM 2: S cos"x sinx dx

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Q: COS X %3D dx dx COS 9 212

A: ddxdydx=ddx-cosxcosy

Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

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Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

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Q: 4. Solve for in the equations below: dx a) -1 dy y? dx b) cos x – sin y 2 = 2- 3 ) xe+ e = 3"

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Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: find the general solution of dy/dx + y = 2 sin x.

A: Now comparing with Now integrating factor is,

Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: 31. (a) |2x - 1| dx (b) 3π/4 1.T CT/2 \cos x dx

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Q: d. a) dt [8 sin 1 2t] = d. b) |7 cos s 1 5 dx d. 3u] = -1 c) 10 sec du

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Q: Find the complete solution of the DE D´ (D– 1)y = 3e* +sin x.

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Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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