a. Two quantities x and y are related to each other by the differential equation ydy/dx=-16x. Solve this equation to get an implicit equation of the solution curve for which y=0 when x=0.1.
Hello, kingkaisai2!
This is the simplest type: Variables Separable . . .
a. Two quantities and are related to each other
. . by the differential equation:
Solve this equation to get an implicit equation of the solution curve
. . for which when
We have: .
Integrate: .
When
Therefore: .