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The solution of differential equation ...

The solution of differential equation
`(1+x^(2)) (dy)/(dx) + y = e^(tan^(-1)x)`

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Verified by Experts

The correct Answer is:
`y=1/2 e^(tan^(-1)x)+ce^(-tan^(-1)x)`.
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (i) Long Answer Type Questions (I)
  1. Solve the following differential equations : cos x (dy)/(dx)+y= sin...

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  2. (y+3x^2)(d x)/(d y)=x

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  3. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

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  4. Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

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  5. Solve the following differential equations : (dy)/(dx)+y= sin x + c...

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  6. अवकल समीकरण को हल कीजिए- (dy)/(dx)+y tan x=2 x +x^(2)tan x

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  7. Solve the differential equation: (dy)/(dx)+ycotx=2cosx

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  8. Solve the following differential equation: x(dy)/(dx)+2y=xcosx

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

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  10. (dy)/(dx)+ysecx=tanx

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  11. x (dy)/(dx) + y = x logx

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  12. Solve the differential equation x\ dy/dx - y = log |x|, given that y(1...

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  13. Solve the differential equation : x(dy)/(dx)+y-x+xycotx=0, x ne 0.

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  14. Solver the following differential equation : (1) x(dy)/(dx) + 2y =x^...

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  15. find the solution of the following differential equation x logx (dy)/...

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  16. Solve: (xlogx)(dy)/(dx)+y=2/xlogx

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  17. Solving the following differentia equation: "s i n x"("dy")/("dx")+...

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  18. Find the general solution of the following differential equations (x...

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  19. Solve the following differential equations : (dy)/(dx)-(2x)/(1+x^(2...

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  20. Find the general solution of the following differential equations (1...

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