Show that by making the substitution

Show that the solution of this equation is v = 1/2x² + C and hence find x(t). This technique is a standard method for solving second-order differential equations in which the independent variable does not appear explicitly. Apply the same method to obtain the solutions of the differential equations

Transcribed Image Text:

d.x dt and noting that dx du dt dt the equation dx dt may be expressed as v= du dx d.x -X = || ax=a dt du dx dx dt du dx = V-