Question

The general solution of the equation
d²y/dx²+dy/dx-30y=0(c1+c2 being consiant
de dr​

Answer 1

Answer:

Here you go with this

Step-by-step explanation:

Explanation:

d 2 y d x 2 − 8 d y d x = − 16 y

best written as

d 2 y d x 2 − 8 d y d x + 16 y = 0      △

which shows that this is linear second order homogeneous differential equation

it has characteristic equation

r 2 − 8 r + 16 = 0

which can be solve as follows

( r − 4 ) 2 = 0 , r = 4

this is a repeated root so the general solution is in form

y = ( A x + B ) e 4 x

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