(dy)/(dx)+y/x=x^(4)...

`(dy)/(dx)+y/x=x^(4)`

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Solution of differential equation: x(dy)/(dx)+y=x^(4)

Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

(dy)/(dx) = 4^(x+y)

If y=4^(x) , then (dy)/(dx) = 4^(x)

The integrating factor in solving 3 (dy)/(dx)+(3y)/x=2x^4y^4 is

Solution of x (dy)/(dx) + y = x^(2) y^(4) is

x(dy)/(dx)+y=x^(2)y^(4)

x(dy)/(dx)+y=x^(2)y^(4)

x(dy)/(dx)=x+y

x ^ (2) yx ^ (3) (dy) / (dx) = y ^ (4) cos x

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