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Solve: y\ dx-(x+2y^2)dy=0...

Solve: `y\ dx-(x+2y^2)dy=0`

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To solve the differential equation \( y \, dx - (x + 2y^2) \, dy = 0 \), we can follow these steps: ### Step 1: Rewrite the Equation We start by rewriting the equation in a more manageable form: \[ y \, dx = (x + 2y^2) \, dy \] ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Find the general solution of the differential equations: (1+x^2)dy+...

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  2. If y+d/(dx)(x y)=x(sinx+logx),fin dy(x)dot

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  3. Solve: y\ dx-(x+2y^2)dy=0

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  4. Solve: y dx + ( x - y^3) dy = 0

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  5. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

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  6. Solve each of the following initial value problem: (x-siny)dy+(tan...

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  7. Solve each of the following initial value problem: (1+y^2)dx=(tan^...

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  8. Solve the following differential equation: (dy)/(dx)+2y=e^(3x)

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  9. Solve the following differential equation : (dy)/(dx)+2y=6e^x

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  10. Solve the following differential equation: x(dy)/(dx)+y=xlogx

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  11. Solve the following differential equation: (dy)/(dx)+y/x=x^3

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  12. Solve the following differential equation: (dy)/(dx)+y=cosx

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  13. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

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  14. Solve the following differential equation: x\ dy=(2y+2x^4+x^2)dx

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

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  16. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

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  17. Solve the differential equation sinx(dy)/(dx)+ycosx=2sin^2xcosx

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

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  19. Solve the following differential equation: 4(dy)/(dx)+8y=5\ e^(-3x)

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

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