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y= (c(1+c(2)x))e^(x)...

`y= (c_(1_+c_(2)x))e^(x) `

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The correct Answer is:
`(d^(2)y)/(dx^(2)) - 2y + 1 =0`
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The differential equation of the family of curves y= c_(1)e^(x) +c_(2)e^(-x) is

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIAL EQUATIONS
  1. Form the differential equation of family of standard circle

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  2. The order and degree of the differential equation e^((dy)/(dx))+(dy)/(...

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  3. y= (c(1+c(2)x))e^(x)

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  4. Solve the differential equation : sec^(2)x tan y dx + sec^(2) y tan...

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  5. solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

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  6. Find the differential equation of family of all ellipse whose major ax...

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  7. Solve the differential equation (dy)/(dx)+y = e^(-x)

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  8. Solve the differential equation x (dy)/(dx) + 2y = x ^(2) log x

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  9. Solve (dy)/(dx) = (x+y+1)/(x+y-1) when x = (2)/(3), y = (1)/(3)

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  10. Solve the differential equation x dx + 2 ydy =0

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  11. (x^(2)-yx^(2))dy+(y^(2)+xy^(2))dx=0

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  12. Solve the following differential equation (dy)/(dx) = x^(2)y + y

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  13. Find the differential equation by eliminating arbitrary constants from...

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  14. Find the differential equation by eliminating arbitrary constants from...

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  15. y = log x + c is a solution of the differential equation x(d^(2)y)/(...

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

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  17. Find particular solutions of the following differential equations : ...

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  18. Solution of the differential equation (dy)/(dx)+(x-2y)/(2x-y)=0 is

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  19. Find the differential equation from the relation x ^(2) + 4y ^(2) = 4b...

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  20. The population of a town increases at a rate proportional to the popul...

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