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Find the sum of the order and degree of the differential equation `y=x((dy)/(dx))^3+(d^2y)/(dx^2)dot`

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To solve the problem of finding the sum of the order and degree of the given differential equation \( y = x \left( \frac{dy}{dx} \right)^3 + \frac{d^2y}{dx^2} \), we will follow these steps: ### Step 1: Identify the highest order derivative The first step is to identify the highest order derivative present in the differential equation. In the equation, we have: - \( \frac{dy}{dx} \) (first derivative) - \( \frac{d^2y}{dx^2} \) (second derivative) ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
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  7. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  8. The degree of the differential equation ((d^2y)/(dx^2))^2-((dy)/(dx))=...

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  9. The degree of the differential equation {5+((dy)/(dx))^2}^(5//3)=x^5 \...

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  10. The general solution of the differentia equation (dy)/(dx)+ycotx = cos...

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  12. The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x...

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  13. The order of the differential equation whose general solution is given...

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  14. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

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  15. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

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  16. The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is gi...

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  17. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

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  18. The solution of the differential equation y1y3=y2^2 is a. x=C1e^(C2 \ ...

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  19. The general solution of the differential equation (dy)/(dx)+y\ g^(prim...

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  20. The solution of the differential equation (dy)/(dx)=1+x+y^2+x y^2,\ y(...

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