Solve π^2π§/ππ₯^2=π₯π¦ subject to the conditions ππ§/ππ₯=log(1 + π¦), when π₯ = 1 and π§=0, when π₯=0.
5.B] Solve , given that when x = 0, z = 1 and
Category solved model papers
Form the partial differential equation from π(π₯ + π¦ + π§, π₯2 + π¦2 + π§2) = 0
6.A] Form the partial differential equation from π(π₯ + π¦ + π§, π₯2 + π¦2 + π§2) = 0 Answer:
Form the partial differential equation by eliminating the arbitrary function from the relation ππ₯ + ππ¦ + ππ§ = π(π₯2 + π¦2 + π§2).
5.A] Form the partial differential equation by eliminating the arbitrary function from the relation ππ₯ + ππ¦ + ππ§ = π(π₯2 + π¦2 + π§2). Answer:
Using Lagrangeβs interpolation formula, fit a polynomial which passes through the points (β1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when π₯ = 2.2
8. B) Using Lagrangeβs interpolation formula, fit a polynomial which passes through the points (β1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of yβ¦
Solve π^2π§/ππ₯^2 = π§, given that when π¦ = 0, π§ = π^π₯ πππ ππ§/ππ¦ = π^βx
6.C] Solve = Z given that when y=0, z=ex and = e-x . Answer:-
Problems on work done by force and flux
4.A] If πΉβ = (5π₯π¦ β 6π₯2)π+ (2π¦ β β4π₯)π, evaluate β«c πΉβ β ππβ along the curve πΆ: π¦ = π₯3 in the π₯π¦ βplane from the point (1,β¦
Form the partial differential equation from the relation π§ = π(π₯ + ππ‘) + π(π₯ β ππ‘).
5.A] Form the partial differential equation from the relation π§ = π(π₯ + ππ‘) + π(π₯ β ππ‘). Answer:
Solve π₯^2(π¦ β π§)π + π¦^2((π§ β π₯)π = π§^2(π₯ β π¦)
6.B] Solve π₯2(π¦ β π§)π + π¦2((π§ β π₯)π = π§2(π₯ β π¦) Answer:-
Determine the wavelength of X-rays for crystal size of 1.188Γ10-6 m, peak width is 0.5 and peak position 30, for a cubic crystal. Given Scherrerβs constant k=0.92.
9.C] Determine the wavelength of X-rays for crystal size of 1.188Γ10-6 m, peak width is 0.5o and peak position 30o, for a cubic crystal. Given Scherrerβs constant k=0.92. Answer:-
The first order Bragg reflection occurs when a monochromatic beam of X-rays of wavelength 0.675A is incident on a crystal at a glancing angle of 4. What is the glancing angle for third order Braggβs reflection to occur?
10.C] The first order Bragg reflection occurs when a monochromatic beam of X-rays of wavelength 0.675Ao is incident on a crystal at a glancing angle of 4o. What is theβ¦