nirmal323
Newbie level 1
Hi everyone,
If the general representation of second order differential equation is:
a*y''+b*y'+c*y=0;
I have the differential equation of the following form
y''-λ²* y=0. ................(1)
i.e. a=1, b=0 and c=-λ² ; where λ²=(α+i*β)
The characteristic equation of the eqn (1) is:
r²-λ²=0;
So that the roots of the characteristic equations are +λ and -λ.
Here the roots are a complex roots but not the conjugate. Can you please suggest me what will be the general solution for the equation (1) ?
I appreciate your help !!!
Thank you.
-Paudel
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If the general representation of second order differential equation is:
a*y''+b*y'+c*y=0;
I have the differential equation of the following form
y''-λ²* y=0. ................(1)
i.e. a=1, b=0 and c=-λ² ; where λ²=(α+i*β)
The characteristic equation of the eqn (1) is:
r²-λ²=0;
So that the roots of the characteristic equations are +λ and -λ.
Here the roots are a complex roots but not the conjugate. Can you please suggest me what will be the general solution for the equation (1) ?
I appreciate your help !!!
Thank you.
-Paudel
[/img]