Complete Theory

Worked Examples

Example 1Linear ODE — integrating factor

Example 2Linear ODE with trigonometric term

Exercise 1Integrating factorMedium

📋 Problem to solve

Solve

y' - 2y = e^{2x}

using the integrating factor method.

Exercise 2Cauchy problemMedium

📋 Problem to solve

Solve

y' + y = 1

y(0)=2

Exercise 3RL circuitHard

📋 Problem to solve

An RL circuit has

L=2

R=10\Omega

V=12

V constant. If

i(0)=0

, find

i(t)

📚

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