Sketch the direction field of the differential equation Verify that x = t 1 + Ce

Question:

Sketch the direction field of the differential equation

d.x dt = -x

Verify that x = t – 1 + Ce–t is the solution of the equation. Sketch the solution curve for which x(0) = 2, and that for which x(4) = 0, and check that these are consistent with your direction field.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: