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Form the DE corresponding to the functio...

Form the DE corresponding to the function `y=e^(2 x)(a+b x)`

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For each of the exercises given below, verify that the given fuction (implicit or explicit) is a solution of the corresponding differential equation. y = e^x (a cos x + b sin x) : (d^2y)/(dx^2) - 2(dy)/(dx) + 2y = 0

Find (dy/dx) of the function x y=e^(x-y)

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Find the Differential equation satisfying the family of curves y^2=...

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  2. Form the DE corresponding to the function y=a e^(3 x)+b e^(-2 x)

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  3. Form the DE corresponding to the function y=e^(2 x)(a+b x)

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  4. Form the DE corresponding to the function y=e^x(a cos x+b sin x)

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  5. Form the differential equation of the family of all circles touching t...

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  6. Form the differential equation of the family of parabolas having verte...

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  7. Form the differential equation of the family of all circles touching t...

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  8. Form the DE of the family of ellipse having foci on the x-axis and c...

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  9. Form a differential equation of the family of circles having centre ...

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  10. Choose the correct answer . Which of the following differential equati...

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  11. Choose the correct answer . Which of the following differential equati...

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  12. Find the general solution of the differential equation (dy)/(dx)=(x+1)...

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  13. Find the general solution of the differential equation (dy)/(dx)=(1+y^...

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  14. Find the particular solution of the differential equation (dy)/(dx)=-4...

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  15. Find the equation of the curve passing through the point (1,1) whose d...

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  16. Find the equation of a curve passing through the point (-2,3), given t...

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  17. In a bank, principal increases continuously at the rate 5 % per year. ...

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  18. (dy)/(dx)=(1-cos x)/(1+cos x)

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  19. Find the general solution of the following differential equations (d...

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  20. Integrate the following: (dy)/(dx)+y=1, (y ne 1)

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