answer the foll. Questions: (i) if y=(si...

answer the foll. Questions: (i) if `y=(sin^(-1)x)/(sqrt(1-x^2))` , then show that `(1-x^2) (d^2y)/dx^2-3x dy/dx -y=0`

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HIGHER SECONDARY EXAMINATION 2020.
UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos
HIGHER SECONDARY QUESTION 2019
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If (sqrt(1-x^2))y= sin^(-1)x then show that (1-x^2)y_2-3xy_1-y =0

If y=[log(x+sqrt(x^2+1))]^2 , show that, (1+x^2)(d^2y)/(dx^2)+xdy/dx=2

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE

A relation R is defined on the set of natural numbers N as follows: R=...
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answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...
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(b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...
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if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.
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answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...
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or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...
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answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx
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or, evaluate :int dx/(cos x+sqrt 3 sin x)
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answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...
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or , solve:(1-x^2) dy/dx - xy=1 .
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(d) answer any one question : (i) if three vectors vec a, vec b and ve...
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answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...
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Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...
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answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...
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answer any one question : (ii) if X and Y are two independent variable...
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(b)answer any two questions : (i) a circular ink blot grows at the rat...
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answer any two questions :(iii) if the straight line lx+my=n be a norm...
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answer any two questions :(iv) solve :(2x-10y^3) dy/dx+y=0 .
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answer any one question : (ii) find the equation of the line which is...
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