6) Use the successive approximations method to solve the following Volterra integral equation: (x 2

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A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

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A: To find the following definite integral.

Q: solve the given Volterra integral equation.

A:

Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

A: 16).17).

Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

A:

Q: S sec x dx Use Integration by parts to solve

A:

Q: Solve the differential equetion (x²y²Jdy=2xydx -

A: Consider the provided D.E,

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: Reduce to first order and solve for y to three decimal places when a = 2.5 and both arbitrary…

A:

Q: b) By using appropriate substitution, solve the integral 7x dx. (1–4x)"

A:

Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: → (+,-) (- -) J (4)

A:

Q: 11. indicate which formula applies to the following integral problem. Then use it to evaluate 3…

A: To evaluate I=∫39x216-9x2dx

Q: Solve: y (cosx)= (9+ y²)

A:

Q: Use the Newton-Raphson Method to approximate to three decimal places the root of f(x) = e-x - x…

A: Newton Raphson method Steps  Step-1: Find points a and b such that a<b and f(a)⋅f(b)<0.…

Q: 1. Solve for 'x': vx + v2x +7 = 8

A:

Q: dx x2+x The numerical value of e! will be ....

A:

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

A:

Q: I. Solve the following integrals: 1. (x²Inx+ sin ¹2x + sec³x)dx

A:

Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

A: