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Solve the following differential equatio...

Solve the following differential equations: `(2x-10 y^3)(dy)/(dx)+y=0`

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`(2 x-10 y^{3}) frac{d y}{d x}+y=0`
` y frac{d x}{d y}=10 y^{3}-2 x`
` frac{d x}{d y}+frac{2 x}{y}=10 y^{2}`
` frac{d x}{d y}+P x=Q f(y) `
` Hence by I.F= e^ (int(2 / y) d y)`
` I.F =e^(2 log y)=y^{2}`
Now
` x(I . F)=int(10 y^{2} times y^{2}) d y`
` ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
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  16. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

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