Probability and complex function: Unit V: Ordinary Differential Equations

(h) problems based on eax integral e-ax

Solved Example Problems | Ordinary Differential Equations

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General method of finding the P.I. of any function f(x)

I(h) problems based on  Type


 [General method of finding the P.I. of any function f(x)]

 

Example. 5.1.54 Solve (D2+ a2) y = sec ax.

Solution: Given: (D2+ a2) y = sec ax

The auxiliary equation is m2 + a2 = 0

The roots are m = ± ia

C.F = A cos ax + B sin ax


 

Probability and complex function: Unit V: Ordinary Differential Equations : Tag: : Solved Example Problems | Ordinary Differential Equations - (h) problems based on eax integral e-ax

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Probability and complex function: Unit V: Ordinary Differential Equations


Ordinary Differential Equations - Introduction

Higher order linear differential equations with constant coefficients

(a) Problems based on r.h.s. of the given differential equation is zero - Solved Example Problems | Ordinary Differential Equations

(b) Problems based on P.I.= 1/f(D) eax ⇒ Replace D by a - Solved Example Problems | Ordinary Differential Equations

(c) Problems based on P.I = 1 / f(D) sin ax or 1 / f(D) cos ax ⇒ Replace D2 by -a2 - Solved Example Problems | Ordinary Differential Equations

(d) problems based on R.H.S = eax + sin ax(or) eax + cos ax - Solved Example Problems | Ordinary Differential Equations

(e) problems based on R.H.S = xn - Solved Example Problems | Ordinary Differential Equations

(f) Problems based on R.H.S. = eax X - Solved Example Problems | Ordinary Differential Equations

(g) problems based on f(x) = x V type - Solved Example Problems | Ordinary Differential Equations

(h) problems based on eax integral e-ax - Solved Example Problems | Ordinary Differential Equations

(i) General ode problems - Solved Example Problems | Ordinary Differential Equations

(i) Problems based on R.H.S = eax + xn + cos ax - Solved Example Problems | Ordinary Differential Equations

Exercise 5.1 (Ordinary Differential Equations) - Problems with Answer

Method of variation of parameters - Ordinary Differential Equations

Problems based on method of variation of parameters - Solved Example Problems | Ordinary Differential Equations

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