Problem 3 Perform an initial u-sub, then evaluate with partial fractions. Cosce de b) dx Since)...
Use Trip to evaluate the following integrals using Trig Sub 2. Use partial fractions to evaluate the following integrals dar 212 +12 3-4 dr:
Integrate ex- - 8x + 18 dx by using the partial fractions method. Which of the following is correct? x2-9x + 20 4 AS**** *28 dx = S** 5 Ox x2 - 8x + 18 J XP-9x + 20 +- - 4 X - X - 5 oc s***8* * 28 dx=51-x katika O B. None of the other choices given is correct. px? - 8x + 18 2 72-9x + 20 ( - 4 x -504 -5 x2 -...
The last equation is separable. Using partial fractions du =ax u-3(u 3)or 63
6. Use the method of partial fractions to evaluate the indefinite integral. 8x' + 13x •dx (x + 2) 7. Consider a. Using complete sentences, explain why the integral is improper. b. Evaluate the improper integral to determine its convergence or divergence.
Solve the given initial-value problem. The DE is of the form dy dx = f(Ax + By + C). dy dx = 5x + 4y 5x + 4y + 4 , y(−1) = −1
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Consider the following initial value problem: dy = sin(x - y) dx, y(0) 1. Write the equation in the form ay = G(ax +by+c), dx where a, b, and c are constants and G is a function. 2. Use the substitution u = ax + by + c to transfer the equation into the variables u and x only. 3. Solve the equation in (2). 4. Re-substitute u = ax + by + c to write your solution in terms...
2. Integrate by parts S x2 e e-* dx . 3. Use the method of partial fractions to evaluate S ( 5x-5 3x2-8x-3
Problem 2. Evaluate each of the following integrals. a) In(4x) dx 1 4x+1 dx ex b) Jo c) S (5x-2)e 6x dx