14 Solution of first order differential equations

Question 1

-How do you go about solving a first order differential equation?

Answer 1

• separate the variables to get dx and x on one side and dy and y on the other.
• Then integrate both sides
• Put constant of integration on one side.
• If the rest are in log form then make the constant of integration a log

Question 2

What does it mean to sketch the family of curves?

Answer 2

-Take a few different values of curves and draw a dew different sketches based on what it could be.

Question 3

What is the difference between general solution and particular solution?

Answer 3

• General there is a constant of integration with no particular value
• Particular solution the constant of integration has a value.

Question 4

What is a limiting value?

Answer 4

-The highest value something can take.

Question 5

What does it mean if something is inversely proportional?

Answer 5

-Make it equal to K/X

Question 6

What is a limitation of using a differential equation model for a mint being sucked?

How can this be applied to other limitation?

Answer 6

• Does not take into account temperature of mouth nor mouth being bitten
• When another variable will not be constant.