Consider the homogeneous second order equation y′′+p(x)y′+q(x)y=0. Using the Wronskian, find functions p(x) and q(x) such that...
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Consider the homogeneous second order equationy′′+p(x)y′+q(x)y=0. Using the Wronskian, find functions p(x) andq(x) such that the differential equation has solutions sinx and1+cosx. Finally, find a homogeneous third order differentialequation with constant coefficients where sinx and 1+cosx aresolutions.
Consider the homogeneous second order equationy′′+p(x)y′+q(x)y=0. Using the Wronskian, find functions p(x) andq(x) such that the differential equation has solutions sinx and1+cosx. Finally, find a homogeneous third order differentialequation with constant coefficients where sinx and 1+cosx aresolutions.
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