Differential equations For case 3 of solving second order differential equations with constant coefficients, when the roots of the associated characteristic equation are repeated real roots. The solution is given by: y1=e^rx and y2=u(x)e^rx. Prove that if y2 is a solution of the equation ay′′+by′+cy=0, then u(x)=x.
Differential equations For case 3 of solving second order differential equations with constant coefficients, when the roots of the associated characteristic equation are repeated real roots. The solution is given by: y1=e^rx and y2=u(x)e^rx. Prove that if y2 is a solution of the equation ay′′+by′+cy=0, then u(x)=x.
Differential equations For case 3 of solving second order differential equations with constant coefficients, when the roots of the associated characteristic equation are repeated real roots. The solution is given by: y1=e^rx and y2=u(x)e^rx. Prove that if y2 is a solution of the equation ay′′+by′+cy=0, then u(x)=x.
Differential equations
For case 3 of solving second order differential equations with constant coefficients, when the roots of the associated characteristic equation are repeated real roots. The solution is given by:
y1=e^rx and y2=u(x)e^rx. Prove that if y2 is a solution of the equation ay′′+by′+cy=0, then u(x)=x.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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