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Solve the following differential equatio...

Solve the following differential equations (or find the general solution (or solution) of following differential equations)
`(dy)/(dx)=1-x+y-xy`.

Text Solution

Verified by Experts

The correct Answer is:
`log|1+y|=x-(x^2)/(2)+C`
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ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-QUESTIONS FOR PRACTICE OF PART -II (VERY SHORT ANSWER TYPE)
  1. Solve the following differential equations (or find the general soluti...

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  2. Solve the following differential equations (or find the general soluti...

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  3. Solve the following differential equations (or find the general soluti...

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  4. Solve the following differential equations (or find the general soluti...

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  5. Solve the following differential equations (or find the general soluti...

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  6. Solve the following differential equations (or find the general soluti...

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  7. Solve the following differential equations (or find the general soluti...

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  8. Solve the following differential equations (or find the general soluti...

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  9. Solve the following differential equations (or find the general soluti...

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  10. Solve the following differential equations (or find the general soluti...

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  11. Solve the following differential equations (or find the general soluti...

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  12. Solve (dy)/(dx)= y tan x, when x= 0 and y= 1.

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  13. Write the particular solution of the equation dy/dx = sin x given that...

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  14. Write the particular solution of (dy)/(dx)=(1+x)^(4), y= 0 when x= -1.

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  15. Form the differential equation , whose solution is y=e^(x+a)

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  16. Write the particular solution of dy/dx=1/(1+x^2),given that when x=0,y...

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  17. Given the general solution as y= (x^(2)+c)e^(-x) of a differential equ...

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