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If `sinx` is an integrating factor of the differential equation `(dy)/(dx)+P y=Q` , then write the value of `Pdot`

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The correct Answer is:
`cot x`
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (D. Very short Answer Type Questions) (Answer the following questions:)
  1. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

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  2. Form the differential equation representing the family of curves y=(A)...

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  3. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

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  4. Form the differential equation representing the family of curves y= A...

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  5. Solve : dy= sin x dx.

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  6. Find the order and degree of the differential equation (d^(2)y)/(dx^(2...

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  7. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  8. Order and degree of the differential equation ((ds)/dt) + 3s (d^(2...

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  9. Find the sum of the order and degree of the differential equation y...

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  10. If sinx is an integrating factor of the differential equation (dy)/...

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  11. Write the order of the differential equation representing the family ...

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  12. Find the general solution of : (dy)/(dx)=x^(2)+sin 3x.

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  13. Write the particular solution of the differential equation : (dy)/(dx)...

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  14. Solve the following differential equation: \ dy+(x+1)(y+1)dx=0

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  15. Solve : e^(y)dx+e^(x)dy=0.

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  16. Solve the differential equation : (x + y) (dy)/(dx) = 1 .

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  17. Solve the following differential equations :(dy)/(dx)+2y=3.

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

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  19. Solve the following differential equations : (dy)/(dx)-y=3x^(3).

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  20. Solve the following differential equations : (dy)/(dx)+3y=2x.

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