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Solve the differential equation x(dy)/(d...

Solve the differential equation `x(dy)/(dx)+y=x cos x+sinx`, given `y((pi)/2)=1`.

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The correct Answer is:
y=sinx
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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Solve the differential equation x(dy)/(dx)+y=x cos x+sinx, given y((pi...

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  2. Write the sum of the order and the degree of the following differentia...

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  3. Find the sum of the degree and the order for the following differentia...

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  4. Find the differential equations representing the family of curves v=A/...

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  5. Solve : xsqrt((1+y^(2)))dx+ysqrt((1+x^(2)))dy=0

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  6. Solve sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

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  7. Solve the following differential equation e^(x) tan ydx + (1- e^(x) ...

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  8. Find the particular solution of the following differential equation : ...

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  9. Find the particular solution of the following differential equation: ...

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  10. Find the particular solution of the following differential equation: ...

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  11. If y(x) is a solution of the differential equation ((2+sinx)/(1+y))(dy...

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  12. Find the particular solution of the differential equation log((dy)/(dx...

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  13. Find the particular solution of the differential equation e^(x)sqrt(1-...

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  14. Solve the differential equation (x^(2)-yx^(2))dx+(y^(2)+x^(2)y^(2))dy=...

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  15. Find the particular solution of the following differential equation: ...

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  16. Show that each of the following differential equations is homogeneous ...

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  17. Show that each of the following differential equations is homogeneous ...

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  18. Show that each of the following differential equations is homogeneous ...

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  19. Show that the given differential equations are homogeneous and solve t...

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  20. Show that the given differential equation is homogeneous and solve it:...

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  21. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

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