Substitute , so that , and
which is separable as
Integrate both sides with respect to . For the integral on the left, first split into partial fractions:
Solve for :
Replace and solve for :
Now use the given initial condition to solve for :
so that the particular solution is
Answer:
-20a - 65 = -104 for a = 2.7
-6x + 52 = 45 for x = 1 1/6
Step-by-step explanation:
-20a - 50 for a = 2.7
Insert 2.7 in for a.
-20(2.7) - 50 = -54 - 50 = -104
-6x + 52 for x = 1 1/6
Insert 1 1/6 for x.
-6(1 1/6) + 52 = -7 + 52 = 45
Answer:
Step-by-step explanation:
c. 0.875
140,000,000x0.25=35,000,000
35,000,000/40,000,000=0.875