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Solve the following differential equatio...

Solve the following differential equation: `xcosy\ dy=(x e^xlogx+e^x)dx`

A

`sin y = 1/x e^x + c `

B

`sin y + e^x log x =c `

C

`sin y = e^x log x + c `

D

`sin y = x e^x + c `

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The solution of the equation (dy)/(dx)=e^(x-y) + x^2 e^(-y) is

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  2. Solution of differential equation log((dy)/(dx))=x+y is

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  3. Solve the following differential equation: xcosy\ dy=(x e^xlogx+e^x)dx

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  4. The solution of (dy)/(dx) = 2^(y-x) is

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  5. Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x...

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  6. Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...

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  7. Find the general solution of each of the following differential equat...

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  8. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

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  9. The solution of the differential equation x^2dy=-2xydx is

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  10. The differential equations cos y dx = x dy has solution of the form

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  11. The general solution of the differential equation (dy)/(dx)=cot x cot ...

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  12. The solution of the differential equation x sec y "dy"/"dx"=1 is

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  13. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

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  14. The general solution of the differential equation y dx +(1+x^2) tan^(...

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  15. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

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  16. The solution of the differential equation (sin x + cos x) dy + (cos x-...

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  17. If dy/dx=(xy + y)/(xy+x), then the solution of the differential equati...

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  18. The solution of the differential equation x(dy)/(dx)+y = y^2 is

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  19. The solution of the equation (2y-1)dx - (2x + 3)dy = 0 is

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  20. (x-y^2x)dx=(y-x^2y)dy

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