Question

y"+8(xy'+y)=0 Verify that yı = exp(-8x²/2) is one solution find the general solution in the form...

y"+8(xy'+y)=0

Verify that yı = exp(-8x²/2) is one solution

find the general solution in the form of an integral.

Math   Calculus   
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Answer #1

we have to verify that given solution is the solution of the differential equation

put the value of y" ,y' and y i the given equation

hence is the solution of the given differential equation

now for the general solution of the given differential equation

y(x)=v(x)y1(x)

from the equation

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