Question

the particular integral of (d+3)(d-3) y=sin3x is
​

Answer 1

Answer:

A linear differential equation is that in which the dependent variable and its

derivatives occur only in the first degree and are not multiplied together.

Thus

1 2

12 1 1 2 .........

n n n

y

n n nn n

d y d dy dy p p p py X dx dx dx dx

 

      

where p1, p2, p3 ......... pn and X are functions of x only.

A differential equation of the form

1 2

1 2 1 2 ............

n n n

y y

n nn n

d y d d

k k ky X dx dx dx

 

      ...(1)

where k1, k2, k3 .......... kn are constants, is called a linear differential

equation with constant coefficients.

Let

2 3

2 3

2 3 , , ...........

n n

n

dd d d DD D D

dx dx dx dx   

where D is a differential operator.

Then equation (1) becomes

  123

1 23 ............ nn n n D k D kD kD nk yX       

or f(D) Y = X ....(2)

where f(D) = Dn + k1Dn–1 + k2 Dn–2 + .......... + kn

Answer 2

Step-by-step explanation:

sin2x I' don't know please tell me