Determine the values of r for which the differential equation t2y′′−6ty′+6y=0 has solutions of the form...

Question

Question

Determine the values of r for which the differential equation t2y′′−6ty′+6y=0 has solutions of the form y=tr for t > 0

Answer 1

Answer #1

Given De is trye brylt6y=0 If it han noin yat, then y=rty and y=2(6-11t Hence from re . řn(r-1) imor t = 6trt tot=o. lotuto

Answer 2

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