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The solution of the differential equatio...

The solution of the differential equation `dy/dx=e^(x-y)+x^2e^(-y)` is (A) `y=e^x+1/2 x^2+c ` (B) `e^(y-x)=1/3 x^3+c ` (C) `e^y = e^x +1/3 x^3+c ` (D) none of these

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve: sin^3x(dx)/(dy)=siny

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  2. Solve the differential equation(dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0

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  3. The solution of the differential equation dy/dx=e^(x-y)+x^2e^(-y) is ...

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  4. Solve: (dy)/(dx)=(1+y^2)/(1+x^2)

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  5. Find dy/dx if y= x.tanx .

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  6. Solve the initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,\ y(0)=0

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  7. Solve the initial value problem: y-x(dy)/(dx)=2(1+x^2(dy)/(dx)),\ y(1)...

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  8. Show that the general solution of the differentia equation (dy)/(dx)...

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  9. Solve the following differential equation log ((dy)/(dx))=3x+4y

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  10. In a bank, principal increases continuously at the rate of 5% per y...

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  11. Find the equation of the curve passing through the point (0, -2) gi...

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  12. At any point (x, y) of a curve, the slope of the tangent is twice t...

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  13. Solve the following differential equation: (x+1)(dy)/(dx)=2x y

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  14. Solve the following differential equation:(dy)/(dx)=(e^x+1)y

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  15. Solve the following differential equation:\ x y(y+1)dy=(x^2+1)dx

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  16. Solve the following differential equation: xcosy\ dy=(x e^xlogx+e^x)dx

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

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  18. Solve the following differential equation: x(dy)/(dx)+coty=0

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  19. Solve the following differential equation: (1-x^2)dy+x y\ dx=x y^2dx

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  20. Solve the following differential equation: cosxcosy(dy)/(dx)=-sinxsiny

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