(D^4-2D^3-3D^2+4D+4)y=0 скачать в хорошем качестве

(D^4-2D^3-3D^2+4D+4)y=0

#complementaryfunction #mathspulse #chinnaiahkalpana Hello, People! Here is the video of differential equation-Higher Order Linear Differential Equations, where f(D)y=0 has solutions based on roots obtained by the auxiliary equation. Have patience and follow every step. My heart felt thanks to all the subscribers, viewers, supporters and well-wishers❤ With Love, Chinnaiah Kalpana🍁 Note : Higher Order Linear Differential Equations(constant coefficients) Def: Linear differential equation of order n: An equation of the form an(x)d^ny/dx^n+an-1(x)d^n-1/dx^n-1+.....+a1(x)dy/dx+a0(x)y=Q(x) where a0, a1, a2,...,an and Q are continuous real functions in x defined on an intervel I is called a Linear Differential Equation of Order 'n' over the interval I. Differential operator-notation: Dy = dy/dx D^2y = d^2y/dx^2 D^3y = d^3y/dx^3 . . . . D^ny = d^ny/dx^n The polynomial in D ' D^n + P1 D^(n-1) + P2 D^(n-2) +....+ Pn ' is called a differential operator of order n and it is denoted by f(D). where f(D)≡D^n + P1 D^(n-1) + P2 D^(n-2) +....+ Pn Auxiliary Equation: f(m)=0 If f(m)=0 have two equal roots m1=m2, then y =(c1+c2x)e^(m1x) will be the general solution of f(D)y=0. Order of a differential equation: A differential equation is said to be of order n, if the nth derivative is the highest derivative in that equation. Degree of a differential equation: The highest power of the highest derivative. For more such content👇    • Higher Order Linear Differential Equations   🐤🐤🐤You can follow me on Instagram🐧   / mathspulse_chinnaiahkalpana   Stay tuned to 'Maths Pulse'. Get gid of Maths Phobia. Have a happy learning! #bscmaths #problemsoncf #findingcomplementaryfunction #engineeringmathematics #bscmathematics #maths #mathematics