y(t) +4 et"y(t – v)dv = 3. Let Y(s) denote the Laplace transform of y. (a) Apply the Laplace transform L to the integral equation and write down the resulting equation about Y(s). (b) Solve for Y(s). (c) Take the inverse Laplace transform L-1 and obtain the solution y(t) for the initial value problem.

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

A:

Q: The bread dough in the bowl will expand due to action of yeast. You have been instructed to leave…

A:

Q: 1 y dxdy Vy-x² 0. y

A: To solve∫01∫yy2dxdyy2-x2

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: tan? xsec*xdx

A:

Q: (arcsin x)? 2 V1 – x²

A:

Q: Calculate the integral of y = 11 cos (8x) from 0 to Answer = Number Leave your answer in exact form…

A: on solving this we get the

Q: V9x? + 25 -dx x2 1.

A:

Q: let b be a constant. use definition to find  (integral 0 to b)(x+1)^2 dx.

A: Given: The expression of integral as ∫0bx+12dx, where b is a constant, To evaluate: The value of…

Q: Find y in terms of x. dy =x+ 5, curve passes through (0, 14) Select one: O A.y =x+ 5x +14 B.y = x +…

A:

Q: Write the definite integral for finding the indicated arc length or surface area. Then use the…

A:

Q: Change the order of integration to evaluate Love LV² sin x² dx dy.

A:

Q: 3 dx

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: refer to f -3)dx x-2 What will be the answer when the integral is evaluated? Show your solution…

A: Integration of the given integrand x2-3x-2 can be found with the help of the division algorithm and…

Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: Evaluate the iterated integral. (7 + 14y) dy dx

A:

Q: (а) 4.x dx -2 (b) / (2.² Зх + 6) dx

A:

Q: Find an integrating factor as a function of z = x ^ 2 + y ^ 2 for the following equation and then…

A: