82% 4:41 PM Tue Sep 27 Problem 13. Match each differential equation with its slope field in the figures below. N WN HOH NW LO -2 -3 -3 -2 -1 0 1 2 3 -3 -2-1 0 2 B (A) WNHOHNW WNLOHNW -3 -2 -1 0 1 2 3 -2 -1 0 2 3 D) C WNHOHNW WN HOH NW -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 (F) (E dy (i) dy at 1 (ii dt (iii) - dy (iv) - dy = 2 ty dt =ty dt (V) at dy _tty 2 2 (vi) - dy = = t dt V4:41 PM Tue Sep 27 82% Problem5. Solve the IVP:y' + 3y = e", y(0) =- 1 Page Break Problem6. Compute J -2x x dx. Page Break v Problem 7. Compute S x In x dx. Page Break Problem8. At 10:30 AM, detectives discover a dead body in a room and measure its temperature at 26 C. One hour later, the body's temperature had dropped to 24. 8 C. We want to determine the time of death (when the body temperature was a normal 37 C) assuming that the temperature in the room was held constant at 20 C, write a differential equation with initial conditions associated with this problem. Clearly state your variables with what they represent.4:41 PM Tue Sep 27 82% Problem1. If we were to S * , 2 dx by starting with the method of u sub, then a good choice for u could be: Page Break Problem2. 1 - x If we were to evaluate J -2 dx by starting with the method of trig sub, then a good choice for x could be: Page Break Problem3. If we were to evaluate S -2 1 2 dx by starting with the method of partial fraction, then we should begin factoring the denominator. What is the decomposition of -, 1 - 1 2 ? Page Break Problem4. . Solve the DE Y = x(1 - y). Page Break