3. u(x) = x x (1 + 12/12/2 + x² + Sec²x -$x - S x utst

Q: Use the direct computation method to solve the following Fredholm integral equations

A: Given: Fredholm integral equation: u(x)=-11+9x+x3+x4-∫0120x-30t ut dtTo find: The solution of the…

Q: dx = cx – bx? dt

A: Variable separable method

Q: solve the given Volterra integral equation.

A:

Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: (x.y,z) find the work required to move an object on the line segment from (1,3,3) to (5,15,15). z²…

A:

Q: Find the integration to de 0. a+bcos² 0

A: Given ∫02πdθa+bcos2θ. The given integrand is even function  We need to evaluate the above integral.…

Q: 13 u(x) = 1 xtu(t)dt. %3D -x 3

A: The  Fredholm integral equation given as: u(x)=13x3-14∫01xtu(t)dt Here use approximation method to…

Q: Obtain the general solution to the equation. dr do +rtan 0 = 9 tan 0

A:

Q: (s) [₂ x sin(x² - 1) cos(x² − 1) + 1 dæ -1

A:

Q: Solve the following Fredholm integral equations by using the direct computation method: 10. yle) = .…

A: Many methods are there to solve an integral equation. One such method is the direct computation…

Q: At) + 6 L At– T)e " H(T)dT=e5H(1)| -5t %3D

A: In this question, we solve the integral equation by using the convolution property.

Q: Calculate the integral of 6 (cos 30) d0.

A:

Q: = u(x) = x cosh x -√² - tu(t)dt

A: As per the question we are given a Volterra integral equation and we have to find its solution u(x)…

Q: ∞ Se ∞ - 19t u (t) 8 (10t – 2) dt Find the numerical value of the integral. The numerical value of…

A:

Q: L. If f(x) = J dt, (1 + sin(tº )]dt , find f'(#)- dt, where g(x) =

A:

Q: W) Find the definite integral.

A:

Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation.

Q: Write and solve the Euler equations to make the following integrals stationary

A: solution

Q: 8. u(x) = 2 aj's -1 8 cos xtu (tj dt

A:

Q: x2 P x1 x² dx 2 xy' +1

A: Given that  I=∫x1x2x2dxxy'+1 Solve the Euler equations to make integral stationary.

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

A:

Q: Solve the integral equation using laplace

A: We will find out the required solution.

Q: 5. cot x cos²x dx In

A: We will evaluate the given integral as shown below

Q: dx 나) | 10-10x

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

Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: 1. 15 dx (x-)2

A: Given problem:-

Q: 5. 2X + Se, X 奇 Xuite dt

A: