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If `y(t)` is a solution of `(1+t)dy/dt-t y=1` and `y(0)=-1` then `y(1)` is

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is ...

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

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  3. If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) ...

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  4. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  5. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a f...

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  6. Spherical rain drop evaporates at a rate proportional to its surface...

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  7. Water is drained from a vertical cylindrical tank by opening a value a...

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  8. The population of a country increases at a rate proportional to the...

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  9. An object falling from rest in air is subject not only to the gravit...

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

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  11. The solution of the differential equation y^(prime)y^(primeprimeprime)...

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  12. Number of values of m in N for which y=e^(m x) is a solution of th...

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  13. A curve passing through (2,3) and satisfying the differential equation...

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  14. The solution of the differential equation (d^2y)/(dx^2)=sin3x+e^x+x^2 ...

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  15. The solution of the differential equations: (x+x^(3)/(3!)+x^(5)/(5!)...

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  16. A and B are two separate reservoirs of water. Capacity of reservoir...

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  17. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  18. Given a function ' g' which has a derivative g' (x) for every real x a...

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  19. Solve ((dy)/(dx))^2-x(dy)/(dx)+y=0

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  20. If y+d/(dx)(x y)=x(sinx+logx), find y(x).

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