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A function satisfying int0^1f(tx)dt=nf(x...

A function satisfying `int_0^1f(tx)dt=nf(x)`, where `x>0` is

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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. Find the sum of n terms of the AP 6,13,20.....

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  2. If the 5th term of AP is 16 and the common difference is 4. Find the 2...

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  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

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  4. Differentiate the following w.r.t x e^x + e^(x^3) + e^(x^5)

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  5. A curve is such that the area of the region bounded by the co-ordinate...

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  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

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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. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

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  9. A wet porous subtance in the open air loses its moisture at a rate pro...

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  10. The equation of tangent in slope form to the the parabola y^2 = 4x ...

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  11. A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(...

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  12. The curve with the property that the projection of the ordinate on the...

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  13. The differential equation corresponding to the family of curves y=e^x ...

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  14. The equation to the orthogonal trajectories of the system of parabolas...

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  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

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

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  18. Which one of the following curves represents the solution of the initi...

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