find the pauticuler soluhion fr + loy = x'_e*sin(8x)

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: Find dy Sinx

A: See the details solution in below

Q: Find integral.

A: Given: Let I=∫2x cos x2 dx To Find: To evaluate the given integration.

Q: Integrate sin 6y sec 3y dy from limit 0 to π

A:

Q: Directon. tanx 6. Oy= (sinx) Fan a ANS: AN

A:

Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

Q: Find the theoretical error bound in approximating SN" sin(x?) dx using Boole's Rule.

A: The theoretical error bound in approximating the integral∫0πsinx2dx using Boole's rule is shown…

Q: use the Mean value Theorem to establish Isine-siny </2-y) Ve,yER

A: We will prove the inequality as following.

Q: use the elimnaton method zhみみ人みメ differential equeti cns

A:

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: Define Testing for cointegration when θ is unknown ?

A:

Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

A:

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

A:

Q: Find the integral of * dx 2 sin x – cos x - |tan + 2 + v5 + C tan + 2- V5 In | tan + 2+ v5 |tan + 2…

A:

Q: Find the Integration of: f(3sin t + esin ty cost dt In 3

A: we have to integrate the following

Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

A:

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: Change the hence order of integlation and evaluate Siny dydx

A:

Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Evaluate the double integral [ Vy sin ydydx.

A: • Here, the inner integral w.r.t 'y' is difficult to evaluate, hence we have to change the order of…

Q: prove that cosh(x + y) = coshx coshy + sinhx sinhy %3D

A:

Q: In² xdx

A:

Q: integral from -1 to 1 of arccos (y) dy

A:

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: This is exercise 12 of Section 7.5 page 460. Find the integral sin(2x) dx +C 1+ sin (x)

A:

Q: When is it beneficial to use the Jacobian to change variables in a double integral?

A:

Q: The integration of cosx is

A: Recall: Definition of Integration:      In mathematics , Integration is a technique to finding a…

Q: Limit _π/2 toπ/2 integral (1+cosx) dx

A: To integrate: ∫-π2π21+cosxdx Solution: Property of definite integral states that: ∫-aafxdx=2∫0afxif…

Q: Evalate the integral (tanx dx by using the reduction formıla of tangent fumction. х

A: Let u=tan(x). then x=tan-1u and  dx=tan-1u'du=duu2+1

Q: The measurement of the radius of the end of a log is found to be 5 inches, with a possible error of…

A: Given : Radius of end of log is 5 inches. Possible error ½ inches The end of log is in the shape of…

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: Evaluate e" dydx by reversing the order of integration. x/3)

A: A detailed solution is given below.

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: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

A:

Q: Differentiate: arctan(cosh(x)) Show all working out.

A: to find the derivative of arctan(cosh(x)) proceed as follows we know that ddxtanx=11+x2  apply chain…

Q: 1. Evaluate LL vsin(a*) dx dy by first changing the order of integration.

A:

Q: EQUへTION (+2x?) AS A (40MOGENEOUS DIFFERENTIAL Ē QUATION SHOW TYAT AND MAKE AN APPROPRIATE…

A:

Q: Find the the Yegion bounded by area y= tanx 4

A: integration gives the area of any function y .

Q: B) Prove that: cosh (x + y) = coshx coshy + sinhx sinhy %3D

A: We know that cosh(θ) = eθ+e-θ2sinh(θ) = eθ-e-θ2

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: 1 dx. cosh x

A: Rewrite the integral and using substitution method, we calculate the given improper integral.

Q: Evaluate the double integral. 5 25- х2 dy dx Jo

A: First, integrate with respect to y

Q: Calculate I dx n=LobysimPsons4) rule

A:

Q: Find the differential equation of the family of spheres of radius r with Centre on the xy-plane

A: General form of the equation of the sphere with radius r and center on the xy plane is given by…

Q: Compute integral x^2cos(x^3+3) dx

A: Given : ∫x2cosx3 + 3dx