VTU Higher Order Differential Equations Particular Integral Type 2 Sinax/Cosax Engineering MATHS

Let's start finding the 📌Particular Integral for Higher Order Differential Equations. Today, we will solve Particular Integral Type 2, where the right-hand side is of the form sinax or cosax or trigonometric form.

In differential equations of higher order, the general solution is:
✨y = Complementary Function (C.F.) + Particular Integral (P.I.)
Particular Integral – Type 2 sinax or cosax/f(D)

If you haven't watched the previous video on linear higher order differential equations with constant coefficients , please check it first — it is very important for understanding Complementary Functions. ▶️
Watch here:    • ⭐Solve (4d⁴ - 8d³ - 7d² + 11d + 6)y=0 &(4d...  
And finding particular integral type 1
   • 🚀 Particular Integral Type 1 e^ax Higher O...  

✅ VTU Syllabus Codes Covered
18MAT21, 21MAT21, BMATC101, BMATE101, BMATM101, 1BMATC101, 1BMATM101, 1BMATE101, BMATEC301

📝 Problems Solved in This Video (Particular Integral Type 2 or case 2)

Solve: y'' - 4y' + 13y = cos 2x
Solve: d^2y/dx^2 + 3 dy/dx + 2y = 4 cos^2 x
Follow along step-by-step to learn how to solve these exam-important Higher Order Differential Equations problems 📝

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