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Find the real value of m for which the s...

Find the real value of `m` for which the substitution `y=u^m` will transform the differential equation `2x^4y(dy)/(dx)+y^4=4x^6` in to a homogeneous equation.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
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  2. Statement 1 : Order of a differential equation represents the number...

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  3. Find the real value of m for which the substitution y=u^m will transfo...

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  6. Let f(x), xge0, be a non-negative continous function,and let F(x) = in...

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  7. A hemi-spherical tank of radius 2 m is initially full of water and h...

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  8. A curve C has the property that if the tangent drawn at any point P...

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  9. A country has a food deficit of 10%. Its population grows continuously...

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  10. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  11. Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x, where |x|< ...

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  12. If integrating factor of x(1-x^2)dy+(2x^2y-y-a x^3)dx=0 is e^(intp ...

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  13. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/...

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  14. The general solution of the differential equation, y^(prime)+yphi^(...

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  15. The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is gi...

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  16. The integrating factor of the differential equation (dy)/(dx)(x(log...

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  17. The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)...

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  18. The solution of the differential equation (dy)/(dx)=1/(x y[x^2siny^2+...

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  19. The general solution of the equation (dy)/(dx)=1+x y is

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  20. A normal is drawn at a point P(x , y) of a curve. It meets the x-ax...

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