Solve the initial value DE y' - ytanx = sinx, y(0) = 1 5-cos 2x 5-cos 3x 5-c A) y B) y = с) у %3D 4 sin x 4 cos 2x

Q: y" z g' = Sin x COS X Solve it by using variable of parameter.

A: This is a third order non-homogeneous differential equation with constant coefficients. We will finf…

Q: (6) [²/2 sin² (2) cos2 (x).dx = A) 플 B) 플 C) 미플

A: We need to make it proper to solve this integration.

Q: Find the form for a particular solution to the equation y "+2y'– 3y =r?cos (nt). A…

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

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: Example 4: Solve iv) y" + y = sin2x.

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Q: 3) v = C,e2x cos 3x + Ce sin 3x 2x

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Q: dy 5- dx for y = tan (3x) is equal to: b) sec (3x) a) 6x sec(3x) tan(3x) c) 6x sec (3x) 6- dx for y…

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Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: 6) Find X 11 df dx by using chain rule if f=u+= cos² u G(x)= U=πX 7) Say whether the function is…

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Q: Solve csc y dx + sec²x dy = 0 elect one: a 4cosy + 2x - sin2x = c O b. 4cosy + 2x + sin2x = c c.…

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Q: If x'y" +xy' + (x2 - -0 x>0 , V1=X 2 sinx and y=y,v. Which of the following equations satisfied by v…

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Q: Differentiate to find dy/dx a) y = xln(ex) b) y = csc2x1/2 c) y = x1/2 sin-1(pi x +2) d) exy+2 = ln…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If x²y" + xy' + (x² – ÷)y=o x >0 ,V,=x 2 sinx , and y =y;v. Which of the following equations…

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Q: y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into…

A: Solve using variable separable method.

Q: Solve: y" + 2y' + 2y = 2 sin(x) +3 cos(2x)

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Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: العنوان solve b sin ² (3x) cos² (5x) dx 2 8 tan³x dx >

A: First, we need to identify the type of integral we are dealing with. The first integral is a product…

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: 1 = x²y" + xy' + cx? - +»v=o x>0 ,V1=X sinx , and y =y,v. Which of the following quations satisfied…

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Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

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Q: If x³y" + xy' +(x? -y=D0 x>0 ,y,=x sinx , and y3V,v. Which of the following 3 equations satisfied by…

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Q: Find the solution. y'= 1 + 3ytanx (A) 3y tan³x=c+ 3sinx-cos³x B 3y cos³x=c+3sinx - sin ³x D 3y…

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Q: Find LT of (i) e(2 cos 5t – 3 sin 5t) 3t (ii) e²ª cos? t (iii) e* sin 2t cos t

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Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

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Q: S -1 sin y³ +1 2 dydx

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Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: dy Find if y = 4 sin?(3x) dx

A: Here we have to find the derivative of function y which is given as above. Here I am attaching a…

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.