Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2)). Exercise 3 : Find the values of parameters for which the ODE (ax^(2)y+y^(3))dx+((1)/(3)x^(3)+bxy^(2))dy=0 is exact, and then solve it in the case of those values of a and b. Exercise 4 : Show that the DE (x^(2)+y^(2)+x)dx+ydy=0 is not exact but b

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Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2)). Exercise 3 : Find the values of parameters for which the ODE (ax^(2)y+y^(3))dx+((1)/(3)x^(3)+bxy^(2))dy=0 is exact, and then solve it in the case of those values of a and b. Exercise 4 : Show that the DE (x^(2)+y^(2)+x)dx+ydy=0 is not exact but becomes exact when multiplied by the integrating factor  mu (x,y)=(1)/(x^(2)+y^(2)). Then solve the equation.

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Expert Answer to - Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2

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Solution for - Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2

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This an additional answer to - Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2

(Solved): Exercise2 : Solve the ODE i) (dy)/(dx)+(xy)/(1+x^(2))=x\sqrt(y). ii) (dy)/(dx)+(y)/(x)=(y^(2))/(x^(2 ...

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