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.

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- September 1st 2006, 08:02 PMkingkaisai2Differential equation and implicit mix- no idea
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.

- September 1st 2006, 09:22 PMSoroban
Hello, kingkaisai2!

This is the simplest type: Variables Separable . . .

Quote:

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: .