Use the variation of parameter method to find a particular solution d²y * + 4y = sec? (2t) Yp of (You may use f sec tdt = In sect + tan t| = C)

Q: Q1: Find dy for the following a) y = tan-1(sinx) + In (sec2x) + 8tan5x + etn dx b) y = sec (x') +…

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A: As per the company guidelines,we can only solve first 3 sub parts, kindly post rest parts…

Q: tan²xdx = sin³ydy when x = 2, y = 3

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Q: Q6:-Prove that: y" =1 y =csc(tan"") if

A: Given y=x4·csctan-114x2-1 Let tan-114x2-1=α ⇒tan(α)=14x2-1 ⇒cscα=2x ⇒y=x4cscα⇒y=x4(2x)⇒y=x22

Q: if a,b and c are integers such that a|bc then a|b or a|c True or False Please give example

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Q: I'm supposed to make a truth table for the premises and the conclusion shown in the photo. I'm…

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Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

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Q: Use Secant method with p, =1, p =1.2 to find the root of f(x)= ln x – cos x that is accurate to…

A: Solution:Let f(x)=log(x)-cos(x)a=1, b=1.2, f(a)=-0.5403, f(b)=-0.2832Here f(a)<0 and f(b)<0.…

Q: (D²+1)y = Y = seC X CSCX

A: The given differential equation is      (D2+1)y=secxcscx the complimentary solution for the given…

Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

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Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

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

Q: Solve Variation of parameters to find y. and Yp and y y" + y = secxtanx

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Q: Q3\ find General solution of sin (xy). (ydx + xdy) = 0 %3D

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Q: e an is a solution or dirrerential equation y'ray=20* how?

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Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: 7/12 16.r(sec 4.r) dr =?

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Q: 1. Find y' of tan(x²y*) = 3x + y² Answer: y': 3-2xy* sec²(x²y*) 4x² y3 sec2 (x2y4)-2y

A: We will solve the problem

Q: Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x…

A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

Q: Find, tan(x / 2)dx A) (1/2) sec (x/2)+c C) 2 sec (x/2)+c B) 2m sec(x/ 2)+c D) (1/2n sec(x/2) +c

A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

Q: y= (sec ³x + tan ²x)

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Q: Q2) Find the general solution for this equatio- y" + (tanx-2cotx)y' + (2cot²x)y = 0 If you know that…

A: Given differential equation It has one solution Lets use method of reduction of order.Assume the…

Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: If f(x) = ƒ' (2) - 6 sin x + 12 cos x, then Help: Post to forum

A: See this solution in below.

Q: Find dy/dx: 2. (6+sec(πx^2))^2 I don't understand how to solve or explain, possibly in a way with…

A: To differentiate the given composite function (using chain rule)

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

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.