*label_important*IMPORTANT QUESTIONS AND ANSWERS

#### *label_important* Unit 1 : (Important Q&A)

#### *label_important*Unit 2 : (Important Q & A)

#### *label_important* Unit 3 : (Important Q & A)

#### *label_important* Unit 4 : (Important Q & A)

#### *label_important* Unit 5 : (Important Q & A)

*label_important*1. FIRST ORDER ODE

6 Chapters | 55 Solved Problems

#### *label_important* 1.1 Exact Differential Equation

#### *label_important*1.2 Linear Differential Equation

#### *label_important* 1.3 Bernoulli's Equation

#### *label_important* 1.4 Orthogonal Trajectories

#### *label_important* 1.5 Newton's Law of cooling

#### *label_important* 1.6 Law of Natural Growth and Decay

*label_important*2. ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER

10 Chapters | 78 Solved Problems

#### *label_important* 2.1 Linear Differential Equations of Higher Order

#### *label_important*2.2 General solution of f(D)y = e^ax

#### *label_important* 2.3 General solution of f(D)y = cos ax or sin ax

#### *label_important* 2.4 General solution of f(D)y = x^m

#### *label_important* 2.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 2.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 2.7 Method of variation of parameters

#### *label_important* 2.8 Legendre Differential Equations

#### *label_important* 2.9 Cauchy's Differential Equations

#### *label_important* 2.10 Applications to Electric R-L-C circuits

*label_important*3. LAPLACE TRANSFORMS

14 Chapters | 106 Solved Problems

#### *label_important* 3.1 Laplace transform

#### *label_important*3.2 Laplace Transform of Some Standard Functions

#### *label_important* 3.3 First, Second Shifting Theorem and Change of Scale Property

#### *label_important* 3.4 Laplace Transform of Multiplication by 't' and Division by 't'

#### *label_important* 3.5 Laplace Transform of Derivatives and Integrals

#### *label_important* 3.6 Laplace Transform of Periodic Functions

#### *label_important* 3.7 Laplace Transform of Unit Step and Unit Impulse Functions

#### *label_important* 3.8 Initial and Final Value Theorems

#### *label_important* 3.9 Inverse Laplace Transform

#### *label_important* 3.10 First, Second Shifting Theorem and Change of Scale of Property

#### *label_important* 3.11 Inverse Laplace Transform of Derivatives

#### *label_important* 3.12 Multiplication by Power of ‘s’

#### *label_important* 3.13 Convolution theorem

#### *label_important* 3.14 Solving ordinary equations by Laplace transforms

*label_important*4. VECTOR DIFFERENTIATION

4 Chapters | 80 Solved Problems

#### *label_important* 4.1 Gradient

#### *label_important*4.2 Directional derivatives

#### *label_important* 4.3 Curl & Divergence

#### *label_important* 4.4 Solenoidal & Irrotational

*label_important*5. VECTOR INTEGRATION

6 Chapters | 40 Solved Problems

#### *label_important* 5.1 Line Integral

#### *label_important*5.2 Surface Integral

#### *label_important* 5.3 Volume Integral

#### *label_important* 5.4 Greens Theorem

#### *label_important* 5.5 Gauss divergence Theorem

#### *label_important* 5.6 Stokes Theorem