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Find the particular solution of the differential equation `(1+e^(2 x)) d y+(1+y^2) e^x d x=0` given that `y=1` when `x=0`

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. Find the equation of the curve passing through the point (0 , pi/4) wh...

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  3. Find the particular solution of the differential equation (1+e^(2 x)) ...

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  4. Solve the differential equation y e^(x/y) d x=(x e^(x/y)+y^2) d y(y ne...

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  5. Find a particular solution of the differential equation (x-y)(d x+d y)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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