Consider the differential equation:
dy/dx + 2xy = y + 4x − 2
(a) Classify this equatio...
Mathematics, 14.02.2020 02:49 babyskitt
Consider the differential equation:
dy/dx + 2xy = y + 4x − 2
(a) Classify this equation by:
i. order
ii. linear or nonlinear
iii. separable or nonseparable
(b) Find the general solution of this differential equation. Specify the largest interval I on which the solution is defined.
(c) Verify that your solution is correct by plugging it back into the differential equation.
(d) In part (b), you should have found a one-parameter family of solutions. Find a solution that satisfies the initial condition y(0) = 1.
Answers: 3
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