Solve for G.S / P.S forbthe following differential equations using the method of solutions for linear equations of first order, first degree (y-x)(y+x)(y^{2}+x^{2})(xdy-ydx)=x^{6}dx

Khadija Wells

Khadija Wells

Answered question

2021-01-22

Solve for G.S / P.S forbthe following differential equations using the method of solutions for linear equations of first order, first degree
(yx)(y+x)(y2+x2)(xdyydx)=x6dx

Answer & Explanation

Macsen Nixon

Macsen Nixon

Skilled2021-01-23Added 117 answers

(yx)(y+x)(y2+x2)(xdyydx)=x6dx
(y2x2)(y2x2)(xdyydx)=x6dx
(y4x4)(xdyydx)=x4dx[(a+b)(ab)=a2b2]
(y4x4}{x4}xdyydxx2=dx
[(yx)41]dyx=dx
[(yx)41]dyx=dx+e(e=constant)
yx4+14+1yx=x+e
y55x5yx=x+e
y55x6{4}y=5x5(x+e)
y(y45x4)=5x5(x+e)
Therefore the sol is
y(y45x4)=5x5(x+e)

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