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Solution of the equation x (dy)/(dx) = y...

Solution of the equation `x (dy)/(dx) = y log y ` is

A

`y = a e^(x)`

B

`y = b e^(2x)`

C

`y = b e^(-2x)`

D

`y = e^(a x)`

Text Solution

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The correct Answer is:
D
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIAL EQUATIONS
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  2. Bacteria increases at the rate proportional to the number of bacteria ...

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  3. The general solution of (dy)/(dx) = e^(-x) is

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  4. The differential equation of y = A e^(5x) + B e^(-5x) is

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  5. Differential equation of the function c + 4yx = 0 is

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  6. General solution of y -x (dy)/(dx) = 0

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  7. The order and degree of ((dy)/(dx)) ^(3) - (d^(3) y)/( dx ^(3)) + ye ^...

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  8. The order and degree of (1 + ((dy)/(dx)) ^(3) ) ^((2)/(3)) = 8(d ^(3)y...

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  9. The solution of (dy)/(dx) = 1 is

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  10. The solution of (dy)/(dx) + (x^(2))/(y^(2)) = 0 is

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  11. Find the differential equation of family of lines making equal interce...

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  12. Find the general solution of the differential equation (dy)/(dx)=(1+y...

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  13. Form the differential equation of family of standard circle

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

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

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

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

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

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

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

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