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The solution of the differential equatio...

The solution of the differential equation `x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s`

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The function f(theta)=d/(d(theta))int0^theta(dx)/(1-costhetacosx) sat...

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  2. The differential equation of the curve x/(c-1)+y/(c+1)=1 is

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  3. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/...

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  4. Which of the following equation(s) is/are linear? (a) dy/dx+y/x=lnx(b)...

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  5. The equation of the curve satisfying the differential equation y((d...

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  6. Find a pair of curves such that (a)   the tangents drawn at poin...

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  7. If y1 and y2 are two solutions to the differential equation (dy)/(dx...

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  8. If y1 and y2 are the solution of the differential equation (dy)/(dx)...

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  9. Let the function ln f(x) is defined where f(x) exists for 2 geq x an...

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  10. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

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  11. The force of resistance encountered by water on a motor boat of mas...

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  12. A cyclist moving on a level road at 4 m/s stops pedalling and lets the...

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  13. Given two curves: y=f(x) passing through the point (0,1) and g(x)=...

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  14. The differential equation of the family of curves y=e^x(Acosx+Bsinx), ...

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  15. The differential equation whose solution is A x^2+B y^2=1 , where A an...

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  16. Let y=f(x) be a curve passing through (1,1) such that the triang...

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  17. The solution of the equation (dy)/(dx)=(x(2logx+1))/(siny+ycosy) is

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  18. The solution of the equation log ((dy)/(dx))=a x+b y is

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  19. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) ...

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  20. The equation of the curves through the point (1, 0) and whose slope...

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