Question

with explanation .........


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Answer 1

Step-by-step explanation:

y=e

3x

(c

1

cosx+c

2

sinx)

⇒y

1

=e

3x

(−c

1

sinx+c

2

cosx)+3e

3x

(c

1

cosx+c

2

sinx)

⇒y

1

−3y=e

3x

(−c

1

sinx+c

2

cosx)

⇒y

2

−3y

1

=3e

3x

(−c

1

sinx+c

2

cosx)+e

3x

(−c

1

cosx−c

2

sinx)

⇒(y

2

−3y

1

)=3(y

1

−3y)+(−y)

⇒y

2

−6y

1

+10y=0

follow me.

thanks my answer