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The general solution of the differential equation `(y dx-x dy)/y=0`is(A) `x y = C` (B) `x=C y^2` (C) `y = C x` (D) `y=C x^2`

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To solve the differential equation \(\frac{y \, dx - x \, dy}{y} = 0\), we can follow these steps: ### Step 1: Rewrite the Equation We start by rewriting the equation: \[ y \, dx - x \, dy = 0 \] This implies: ...
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NCERT-DIFFERENTIAL EQUATIONS-Miscellaneous Exercise
  1. Solve the differential equation y e^(x/y)dx=(x e^(x/y)+y^2)dy(y!=0)

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  2. Find a particular solution of the differential equation(x - y) (dx + ...

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  3. Solve the differential equation [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x)...

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  4. Find a particular solution of the differential equation (x+1)(dy)/(dx...

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  5. The population of a village increases continuously at the rate propor...

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  6. The general solution of the differential equation (y dx-x dy)/y=0is(A...

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  7. The general solution of a differential equation of the type (dx)/(dy)...

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  8. The general solution of the differential equation e^x dy + (y e^x + 2...

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  9. Find a particular solution of the differential equation (dx)/(dy)+yco...

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  10. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

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  11. Find the equation of the curve passing through the point (0,pi/4)whos...

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  12. Show that the general solution of the differential equation (dy)/(dx) ...

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  13. Find the general solution of the differential equation (dy)/(dx)+sqrt...

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  14. Form the differential equation of the family of circles in the first ...

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  15. Form the differential equation representing the family of curves give...

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  16. Verify that the given function (implicit or explicit) is a solution o...

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  17. For each of the differential equations given below, indicate its orde...

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  18. Find the particular solution of the differential equation (1 + e^(2x)...

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