I have 3 problems I cannot understand at all:
1. Find the particular solution of the differential equation that satisfies the boundary condition: xdy=(x+y+8)dx; y(1)=3
2. Find the particular solution of the differential equation that satisfies the boundary condition: 5xy'-y=x^3-5x; y(squareroot of 35/2)=0
3. Assume an object weighing 8 pounds is dropped from a height of 8,000 feet, where the air resistance is proportional to the velocity.
a) Write the velocity as a function of time if its velocity after 4 seconds is 2.00 feet per second.
b) What is the limiting value of the velocity function?
1. Find the particular solution of the differential equation that satisfies the boundary condition: xdy=(x+y+8)dx; y(1)=3
2. Find the particular solution of the differential equation that satisfies the boundary condition: 5xy'-y=x^3-5x; y(squareroot of 35/2)=0
3. Assume an object weighing 8 pounds is dropped from a height of 8,000 feet, where the air resistance is proportional to the velocity.
a) Write the velocity as a function of time if its velocity after 4 seconds is 2.00 feet per second.
b) What is the limiting value of the velocity function?