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Verify that y=a e^(-x), (a is a paramete...

Verify that `y=a e^(-x)`, (a is a parameter ) is the general solution of `y^'+y=0`

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Find a particular solution of the differential equation (x-y)(d x+d y)...

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  2. Solve the differential equation [(e^(-2 sqrtx)/sqrtx)-(y/(sqrtx))] ((...

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  3. Find the particular solution of the differential equation (dy)/(dx) + ...

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

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  5. The population of a village increases continuously at the rate. propor...

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  6. The general solution of the differential equation (y dx - x dy)/y=0.

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  7. Choose the correct answer. The general solution of a differential equa...

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  8. Choose the correct answer. The general solution of a differential equa...

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  9. Form the differential equation corresponding to y=a x^2+b x+c

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  10. Verify that y=a e^(-x), (a is a parameter ) is the general solution of...

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  11. Solve the differential equation 3 e^x tan y d x-(1+e^x) (sec ^(2) y) d...

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  12. Find the curve in the xy plane that passes through (0,3) and whose tan...

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  13. Solve (dy)/(dx)=(x y)/(x^2+y^2), x^2+y^2 ne 0

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  14. Solve y^'= (y(x-2 y))/(x(x-3 y)), x ne 0, x ne 3 y^

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  15. Solve the initial value problem (x e^(y/x)+y)) d x=x d y, y(1)=0.

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  16. solve (dy)/(dx)-x y =x

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  17. Solve y^'+y=cos (e^x)

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  18. Solve y^'+y cos x=e^(sin x) cos x

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  19. Solve the following differential equations (x + y)(dy)/(dx) = 1

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  20. a)Equation of family of circles touching the y -axis at origin is x^2...

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