Consider the equation: x2 y''-6y=0 A. Could you solve this ODE using Homogeneous Linear Equations with Constant...
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Consider the equation: x2 y''-6y=0
A. Could you solve this ODE using Homogeneous Linear Equationswith Constant Coefficients? Explain.
B. Note that y1=x3 is asolution of the ODE. Using reduction of order, find a solutiony2 such that { y1, y2} is linearlyindependent.
C. Prove that{y1, y2} is linearlyindependent.
D.What is the general solution?
Consider the equation: x2 y''-6y=0
A. Could you solve this ODE using Homogeneous Linear Equationswith Constant Coefficients? Explain.
B. Note that y1=x3 is asolution of the ODE. Using reduction of order, find a solutiony2 such that { y1, y2} is linearlyindependent.
C. Prove that{y1, y2} is linearlyindependent.
D.What is the general solution?
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