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If u= x^3-3xy^2, show that (del^2u)/(del...

If `u= x^3-3xy^2`, show that `(del^2u)/(delx^2)+(del^2u)/(dely^2)`=0

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2016-PREVIOUS YEAR QUESTION
  1. Find dy/dx, if x^my^n=(x/y)^(m+n)

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  2. If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...

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  3. If u= x^3-3xy^2, show that (del^2u)/(delx^2)+(del^2u)/(dely^2)=0

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  4. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  5. The radius of a spherical soap bubble is increasing at the rate of 0.2...

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  6. If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

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  7. Evaluate : int(logx)^2dx

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  8. Evaluate: int(2x+9)/(x+3)^2dx

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  9. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  10. Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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  11. Obtain the general solution of the following differential equations. y...

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  12. Solve: (x^2-1)dy/dx+2xy=1

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  13. Prove that : |veca + vecb|le|veca|+|vecb|.

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  14. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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  15. The projection of a line segment overline(OP), through origin O, on th...

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  16. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  17. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  18. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  19. Find the feasible region of the following system 2x+yge6,x-yle3,xge0...

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  20. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

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