1. Find the general solution to y - 2ry' = 0. 2. Take y-2xy' + 4y...

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1. Find the general solution to y" - 2ry' = 0. 2. Take y-2xy' + 4y = 0. (a) Show that y=1-222 is a solution. (b) Use redaction of order to find a second linearly independent solution. (c) Write down the general solution. 3. Find the solution of " 10y +24y=0 with y(0)= -1, / (0)= -2. 4. Find the general solution to y" +12y +36y=0. 5. Construct an equation such that y = Che cos(32) + C₂e sin (32) is its general solution. 6. Find the solution to y" + 4y + 5y =0 with y(0)= 2 and y'(0) = -1. 1. Find the general solution to y" - 2ry' = 0. 2. Take y-2xy' + 4y = 0. (a) Show that y=1-222 is a solution. (b) Use redaction of order to find a second linearly independent solution. (c) Write down the general solution. 3. Find the solution of " 10y +24y=0 with y(0)= -1, / (0)= -2. 4. Find the general solution to y" +12y +36y=0. 5. Construct an equation such that y = Che cos(32) + C₂e sin (32) is its general solution. 6. Find the solution to y" + 4y + 5y =0 with y(0)= 2 and y'(0) = -1.