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अवकल समीकरण (x^2+xy)dy=(x^2+y^2)dx को हल...

अवकल समीकरण `(x^2+xy)dy=(x^2+y^2)dx` को हल कीजिए |

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(x^2y^3+xy)dy=dx

(x^2y^3+xy)dy=dx

(xy - x^2)dy = y^2 dx

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

x^(2)dy+(x^(2)-xy+y^(2))dx=0

Solve: 2x^(2)dy=(xy+y^(2))dx

(x^2 - y^2) dx + 2xy dy = 0

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