Find C.F & P.I of (D^2-4D+4)y=5cos3x & (D^2+1)y=sin2x, Case 3, Differential equation of higher order

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#pi
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in this lecture you will learn complete of
function and particular integral. how to find C.F & P.I of case 3. Higher order differential equation. How we find complementary function of repeated roots of differential equations.

1) Find C.F of (D^3-4D^2+D+6)y=0 & (D^3-6D^2+3D+10)y=0, case#1, Differential equation of higher order.

2) Find complimentary function of (D^2+5D+6)y=0 & (D^3-7D+6)y=0, Higher order differential equation

3) Complementary function of (D^2-12D+4)y=0 & (D^3-6D^2+12D+8)y=0, Differential equation of higher order.

4) Find complementary function of (D^2-4D+4)y=0 & (D^2+6D+9)y=0, Differential equations of higher order.

Find C.F and P.I of (D^2-5D+6)y=e^4x & (D^2+3D+2)y=e^2x, case 1,Differential equation of higher order.

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Well explained, i have really understood