Derive the solution u(x, t) = H (t−x/c)g(t-x/c) to the problem utt = c²uxx, x,t> 0, u(x,0) = ut(x,0) = 0, u(0, t) = g(t), t> 0. Use L( f(T) dr) = F(s)/s. x > 0,

Q: If f(x) = f'(x) = 1 x³ 3 √t² + 1 dt then F

A: Here we will use the Leibniz theorem to  find the derivative of the given problem, so on using this…

Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: Show that P2(x) = f(a) + f'(a)(x − a) + c2(x − a)2 for each value of c2 satisfies the requirements…

A:

Q: Show human working correctly please

A: To find f'(1), we need to differentiate the given function f(p) with respect to p and then evaluate…

Q: 15 [ = f(x) = H t²dt then

A: f(x)=∫x15t2dt

Q: f' (t) =t+1/t³, t>0, ƒ(1)= 6

A: Explanation and solutions is given below.....

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: f'(t) = 6t2 + 2t - 4

A: Given: f't=6t2+2t-4 for finding solution of given differential equation, we use variable separable…

Q: Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,511.9 miles. The…

A:

Q: ii) Let F(x) = f(rf(xf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6. Calculate…

A: Given function is F(x)=f(xf(xf(x)))

Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

A:

Q: If f(x) | (* + 7t² + 6)dt then f''(x) = %3D

A: f(x)=∫0x(t3+7t2+6) dt

Q: f(x) = ex U>x > U-

A: