Problem B.2 Each of the ODES shown below is second order in y, with y1 as a solution. Reduce the ODE from being second order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like terms. Show your work. B.2.a. xy" –y' +y = 0 Y1 = x* В.2.b. y" + 9у %3D 0 sin(3t) B.2.c. x²y" +y = 0 Y1 = x²/3

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Problem B.2
Each of the ODES shown below is second order in y, with y1 as a solution. Reduce the ODE from being second
order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like
terms. Show your work.
B.2.a. xy" –y' +y = 0
Y1 = x*
В.2.b. y" + 9у %3D 0
sin(3t)
B.2.c. x²y" +y = 0
Y1 = x²/3
Transcribed Image Text:Problem B.2 Each of the ODES shown below is second order in y, with y1 as a solution. Reduce the ODE from being second order in y to being first order in w, with w being the only response variable appearing in the ODE. Combine like terms. Show your work. B.2.a. xy" –y' +y = 0 Y1 = x* В.2.b. y" + 9у %3D 0 sin(3t) B.2.c. x²y" +y = 0 Y1 = x²/3
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