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Solve log((dy)/(dx))=4x-2y-2 , given tha...

Solve `log((dy)/(dx))=4x-2y-2` , given that `y=1` when `x=1.`

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Find the orthogonal trajectory of y^2=4a x (a being the parameter).

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  2. Solve e^((dy)/(dx))=x+1, given that when x=0,y=3.

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  3. Solve log((dy)/(dx))=4x-2y-2 , given that y=1 when x=1.

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  4. Form the differential equation of all concentric circles at the origin...

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  5. Form the differential equation of family of lines concurrent at the ...

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  6. Solve (d^2y)/(dx^2)=((dy)/(dx))^2

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  7. Solve (dy)/(dx) = sqrt(1+x+y+xy)

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  8. Solve the equation: sec^2xtany \ dx+sec^2ytanx \ dy=0

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  9. Solve y e^(x/y)dx=(x e^(x/y)+y^2)dy ,(y!=0)dot

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  10. Find the order and degree (if defined) of the equation: (d^3y)/(dx^3)...

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  11. Find the order and degree (if defined) of the equation: (d^2y)/(dx^2)...

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  12. Find the time required for a cylindrical tank of radius r and height H...

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  13. What constant interest rate is required if an initial deposit placed ...

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  14. Find the order and degree (if defined) of the equation: (d^4y)/(dx^4)...

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  15. Find the order and degree (if defined) of the equation: a=(1[1+((dy)/...

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  16. Find the order and degree (if defined) of the equation: ((d^3y)/(dx...

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  17. Find the order and degree (if defined) of the equation: (d^4y)/(dx^...

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  18. Solve the equation (dy)/(dx)=y/(2ylogy+y-x)

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  19. Solve the equation (1-x^2)((dy)/(dx))+2x y=xsqrt(1-x^2)

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  20. Solve the equation (x+y+1)((dy)/(dx))=1

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