Differential Equations » Exercise – 1
1. The solution of a differential equation which is not obtained from the general solution is known as :
(a) Particular solution
(b) Singular solution
(c) Complete solution
(d) Auxilia
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Differential Equations » Exercise - 1 1. The solution of a differential equation which is not obtained from the general solution is known as : (a) Particular solution (b) Singular solution (c) Complete solution (d) Auxiliary solution 2. The differential equation dy/dx = y2 is : (a) Linear (b) Non-linear (c) Quasilinear (d) None of these 3. The differential equation formed by y = acosx + bsinx + 4 where a and b are arbitrary constants is : (a) (d2y/dx2) + y = 0 (b) (d2y/dx2) - y = 0 (c) (d2y/dx2) + y = 4 (d) (d2y/dx2) - y = 4 4. The general solution of (x2 D2 – xD), y = 0 is : (a) y = C1 + C2 ex (b) y = C1 + C2 x (c) y = C1 + C2 x2 (d) y = C1 x + C2 x2 5. The equation a0 x2y″+ a1xy′+ a2y = φ(x) is called : (a) Legendre’s linear equation (b) Cauchy’s linear equation (c) Simultaneous equation (d) Method of undetermined coefficients