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The solution of the differential equatio...

The solution of the differential equation `{y(1+x^(-1))+siny}dx+(x+ln x xx x cosy)dy=0` is

A

`x+y ln x+ysinx=C`

B

`x-y+ysinx=C`

C

`x+ln x+ylny=C`

D

None of these

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The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
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  2. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  3. The solution of the differential equation {y(1+x^(-1))+siny}dx+(x+ln x...

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  4. if p implies(q ^^ r) is false, then the truth values of p, q and r ar...

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  5. Find the value of expression 1 / (cos 290^@) + 1 / (sqrt3 sin 250^@)

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  6. If In is the identity matrix of order n then (In)^(-1)=

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  7. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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  8. If in Delta ABC, tan.(A)/(2) = (5)/(6) = (2)/(5), then prove that a, b...

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  9. If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle...

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  10. The values of theta in (0,(pi)/(2)) satisfying

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  11. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

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  12. If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

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  13. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

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  14. In a class, there are 10 boys and 8 girls. When 3 students are selecte...

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  15. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

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  16. If y=sinx and u=cosx, then (dy)/(du) is equal to

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  17. If the line joining the points (0,3)a n d(5,-2) is a tangent to the cu...

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  18. Evaluate the following integrals: inte^(2x)((1+sin2x)/(1+cos2x))dx

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  19. If a particle is moving the velocity v(t)=cos pit, along a straight li...

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  20. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

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