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From the differential equation by elimi...

From the differential equation by eliminating A and B in `Ax^(2)+By^(2)=1`

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To solve the problem of forming the differential equation by eliminating constants A and B from the equation \( Ax^2 + By^2 = 1 \), we will follow these steps: ### Step 1: Differentiate the given equation with respect to \( x \) Starting with the equation: \[ Ax^2 + By^2 = 1 \] ...
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NCERT EXEMPLAR-DIFFERENTIAL EQUATIONS -Differential Equations
  1. Solve 2(y+3)-x y(dy)/(dx)=0, given that y(1)=-2

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  2. Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y...

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  3. From the differential equation by eliminating A and B in Ax^(2)+By^(2...

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  4. Solve the following differential equation: (1+y^2)tan^(-1)dx+2y(1+x^2)...

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  5. Find the differential equation of system of cocentric circles with cen...

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

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  7. Find the general solution of the differential equation (1+tany)(dx-dy)...

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  8. Solve: dy/dx = sin(x+y) + cos(x+y)

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  9. Find the general solution of (dy)/(dx)-3y=sin 2x

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  10. The slope of the tangent at (x , y) to a curve passing through a point...

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  11. Find the equation of the curve through the point (1,0), if the slope o...

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  12. Find the equation of the curve passing through origin if the slope ...

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  13. Find the eqution of the curve passing through the point (1,1), if the ...

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  14. Solve x(dy)/(dx)=y(logy-logx+1)

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  15. The degree of the potential equation ((d^(2)y)/(dx^(2)))^(2)+((dy)/(dx...

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  16. The degree of the differential equation [1+((dy)/(dx))^(2)]^(3//2)=(d^...

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  17. The order and degree of the differential equation (d^(2)y)/(dx^(2))+((...

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  18. If y=e^(-x)(A cos x + B sin x) then y is a situation of

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  19. The differential equation for y=Acos alphax +B sin alphax, where A and...

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  20. The solution of differential equation xdy-ydx=0 represents

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