3rd Order Linear Differential Equation Example| y''' + 3y'' + 3y' + y = e^-x(2-x^2)

In this video, we solve a third-order linear differential equation with constant coefficients:

d³y/dx³ + 3 d²y/dx² + 3 dy/dx + y = e⁻ˣ(2 - x²)

🔍 What You'll Learn:

· How to find the complementary function for repeated roots
· Method of undetermined coefficients for exponential & polynomial terms
· Complete step-by-step solution process
· Final general solution verification
✏️ Practice Problems:
Try solving:y''' + 3y'' + 3y' + y = e⁻ˣ(1 + x)
🎓 Who This Is For:

· Engineering students (mechanical, electrical, civil)
· Mathematics majors
· Physics students
· Anyone preparing for exams

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Видео 3rd Order Linear Differential Equation Example| y''' + 3y'' + 3y' + y = e^-x(2-x^2) канала Mathstronauts