Determine wronskian of any pair of solutions to equation


Let differential equation (1-3t)y"+9ty'-9y=0

i) Verify that y1(t)=t is the solution to equation.

ii) Determine Wronskian W(y1, y2) of any pair of solutions to equation.

iii) Use previous 2 parts of question to find the first order non-homogeneous equation which is satisfied by second linearly indpendent solution y2 of original equation.

iv) Determine the particular solution to equation so find second solution y2 of original 2nd order ODE.

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Mathematics: Determine wronskian of any pair of solutions to equation
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