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 = y^{2} is :

(a) Linear

(b) Non-linear

(c) Quasilinear

(d ) None of these

3. The differential equation formed by *y*= *a*cos*x *+ *b*sin*x *+ 4 where *a* and *b* are arbitrary constants is :

(a) (*d ^{2}y/dx^{2}*) +

*y*= 0

(b) (

*d*) –

^{2}y/dx^{2}*y*= 0

(c) (

*d*) +

^{2}y/dx^{2}*y*= 4

(d) (

*d*) –

^{2}y/dx^{2}*y*= 4

4. The general solution of *(x ^{2} D^{2} – xD), y=* 0 is :

(a) *y = C _{1} + C_{2 }e*

^{x }(b)

*y = C*

_{1}+ C_{2 }*x*

(c)

*y = C*

_{1}+ C_{2 }x^{2}

(d)

*y = C*

_{1}x +*C*_{2 }x^{2}

5. The equation a_{0} x^{2}y″+ a_{1}xy′+ a_{2}y = φ(x) is called :

(a) Legendre’s linear equation

(b) Cauchy’s linear equation

(c) Simultaneous equation

(d) Method of undetermined coefficients

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