Derive a linear ordinary differential equation with constant coefficients whose…

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

Derive a linear ordinary differential equation with constant coefficients whose general solution is

y(x)=C_{1}+C_{2}e^{x}+C_{3}e^{2x}

. Write the differential equation in its simplest form.