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Find the equation of the curve which is ...

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  3. Find the equation of the curve which is such that the area of the rect...

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  4. Solve x((dy)/(dx))=y(logy-logx+1)

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  5. If the population of country double in 50 years, in how many years wil...

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  7. Find the real value of m for which the substitution y=u^m will transfo...

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  8. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

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  9. Find the equation of a curve passing through (0,1) and having gradient...

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  10. Solve (dy)/(dx)=(x-2y+5)/(2x+y-1)

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  11. Solve x dy=(y+x(f(y/x))/(f^(prime)(y/x)))dx

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  12. Solve the equation ydx+(x-y^2)dy=0

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  13. Find the orthogonal trajectory of y^2=4a x (a being the parameter).

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

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

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

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

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

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

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

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