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Number of values of `m in N` for which `y=e^(m x)` is a solution of the differential equation `(d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0` (a) 0 (b) 1 (c) 2 (d) More than 2

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x...

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

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

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

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

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

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

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

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

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

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

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  12. Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy

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  13. Solve xy(dy)/(dx)=x^2+2y^2

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  14. Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

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  15. For the differential equation whose solution is (x-h)^2+(y-k)^2=a^2 (a...

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  16. Which one of the following function(s) is/are homogeneous? (a) f(x,y...

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  17. The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx...

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  18. The solution of the differential equation y^(primeprimeprime)-8y^(prim...

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  19. Differential equation of the family of curves v=A/r+B , where A and ...

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  20. The function f(theta)=d/(d(theta))int0^theta(dx)/(1-costhetacosx) sat...

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