5. Consider the differential equations y′′(x)+(y′(x))2y′′′(x)−y(x)+x2xy′(x)=2+4x2=0=2y(x) (i) Which of these different
Posted: Thu Jul 14, 2022 3:47 pm
5. Consider the differential equations y′′(x)+(y′(x))2y′′′(x)−y(x)+x2xy′(x)=2+4x2=0=2y(x) (i) Which of these differential equations have y(x)=x2 as a solution? (ii) Which of these differential equations are linear? (iii) Which of the linear differential equations are homogeneous? (iv) Write down the order of each of these differential equations.