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 orde

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#cf_and_pi_of_differential_equation
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in this lecture you will learn complete concept of complementary function and particular integral. how to find C.F & P.I. 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.

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Agar roots real & similar aye taab kya kare ?
1e^2x/ f(D), F(D)=0 taab ?? 😢

ranadeepdebnath