The solution of the DE (1+ cot'x)y' = cscx coty is %3D None of these siny + In|cosx| = C cosx + In secy = c

Q: of cosx = = sin(x + 4 €) by Perturbation method. Find root over = of cosx =

A: As per the question we are given a perturbed equation as : cos(x) = ε sin(x + 4ε) And we have to…

Q: Describe the method used to integrate sin" x cos" x, for m even and n odd.

A: The method to integrate sinm x cosn x when m is even and n is odd. We integrate by substituting the…

Q: Integrate sin^2(7x)-cos(x)

A:

Q: What is the formula for integrating sin 40 cos 20d0 ? S (sin 60 – sin 20) do S (sin 60 + sin 20) de…

A: SOLUTION-

Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if…

A:

Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

A:

Q: Differentiate. cosx² + siny³ = 36 %3D

A:

Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable…

A:

Q: √xA)• dS over the surface of a hemispherical bowl of radius 2 and its circular rim if A = 3 sin(-)â,

A: Please see the attachment

Q: Find the differential of z = sin²(5x) + ev

A:

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: 2cosx3-sinx=14  compute for a real root of equation using fixed point iteration method with an…

Q: Integrate |sin2x cos 3xdx

A:

Q: One solution of a 2nd order homogenous LDE is e2*sinx. What is its general solution?

A:

Q: what is the acceleration at time t=o of a particle if its position is s(t)= cos (3t)-sin(4t

A:

Q: Use the trapezoidal rule withn= 4 to approximate %3D cos(x) COS

A: Given: n=4 and ∫15cos(x)xdxwe know that trapezoidal rule for approximating ∫abf(x)dxis given…

Q: The integration expression sin(3In(x) + 4)cos(3In(x)+ 4)dx must be transformed into using suitable…

A: topic- indefinite integration

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: Compute integral sin(cos(x^2)) sin(x^2)x dx

A: Explanation is given below...

Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

A:

Q: 3. Prove that coshx – coshy = 2sinh () sinh ().

A: As per honor code we are entitled to solve only 1 question at a time so I am providing you the same.…

Q: The integration expression sin(3In(x) + 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

A:

Q: Consider sin¹x cos³x dx. If we let u= sinx, the integrand can be transformed to

A:

Q: On the guide to solve integral sin2x/1+cosx why is the first step changing it to 2cosxsinx/1+cosx?

A:

Q: 2 If the functions y = sin x and y = cosx are both subjected to a horizontal compression by what 3'…

A: Given: The function y=sin x and y=cos x are both subjected to a horizontal compression by 23

Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

A:

Q: Solve (1+siny)dylx=[(2ycosy-(secy+tany)]dy.

A: This question is taken from a differential equation in which we have to solve the equation and take…

Q: sec Vn du in

A:

Q: Describe the method used to integrate sinm x cosn x, for m even and n odd.

A: Method to integrate sinmx cosnx ,for m even and n odd. Let m=2k and n=2k+1 ∫sinmxcosnx…

Q: 2T sin (2) dydx 0,

A: To evaluate the double integral, ∫π2π∫0x3sinyxdydx.…

Q: . Compute for a real root of 2 cos VI – sin Va = + accurate to 4 significant figures using…

A: Given equation is 2cos x3 - sinx =14 And, initial guess:- x0 =π Also, 2cos x3 - sinx =14⇒ x  = cos-1…

Q: sin $3xcos 3x dx

A:

Q: uxiliary equation of + by = 0 are re tion of the different

A:

Q: Va2-x² Y=Arc sin + а

A: Differentiate wrt x

Q: 4. Ify =/sin x+ /sin x+.to inf inity, dy _ cosx dx 2y-1 prove that

A: Derivative of Sinx is Cosx

Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

A:

Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b.…

A: Here we have to transformed the given integrand.

Q: This is exercise 26 of Section 7.5 page 460. Find the integral æ* sin(æ²) dx-

A: Answer is given in the picture

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2) .

A:

Q: (b) Prove that : - 1) (coshx)2 - (sinhx)2 = 1 ,2) coshx - sinhx = e, 3) (cothx)2 -1= (cschx)2 %3D

A: Use hyperbolic  function

Q: What is the integrable form of sin-cos-sin0 do 2 2

A:

Q: I have a question about this type of question. Will cos(mpix) will always be 0? and how do we…

A:

Q: (7 – siny)y' = 3x2 + 2x

A:

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable…

A:

Q: Compute for a real root of 1 2 cos Vx – sin vx = accurate to 4 | 4 significant figures using…

A: 2cos(33)-sinx=14;   x0=π f(x)=2cos(33)-sinx-14 f(x)=0 ⇒2cos(33)-sinx-14=0 x=cos-11214+sinx3=ϕ(x);…

Q: find tan x dx x² x² tan¬' x dx 19. 20. sin 3x cos 2x dx 22. sin 2x cos 3x dx S sin sin 8 sin 4t sin…

A:

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: Compute cosh(x) and sech(x), assuming sinh(x) = 0.01. cosh(æ) = %3D sech(x)

A:

Q: Ssin(3x) sin(7x) dx

A:

Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…

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.