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integral of Mdx + integral of Ndy= C
i took the integrals and ended up with equation x^3y^2+X^4+x^3y^2+1=C
now here iam done iam blunt whats next here either iam right or wrong know nothing please help
can u tell how to take partial derivative? and also tell that where the dx goes from the equation in step 2
partial derivatives are simple derivatives like you see the equation pe took partially derivatives of equation by dividing it into two parts i.e M and N ad partially took derivation w.r.t x and y and about dx its still there :O look close please !!
Ok i understand.can u please show steps of how u derivate M and N?
and i was talking about dx of denumerator. where it goes? you took dx common from 4xdx and 3y^2dx. but where is the dx of denumerator?
as far as the correctness of ur solution is concerned. ithink it is right and the solution ends here. because in the question we have asked about integration factor. which is x^2 and the equation become integrable after multiplying by it. the value of n is then 2.
asalaam o aliekum thanks alot for your replies as you asked for dx in the denominator you can see as there is 0 on the equation on the RHS i multiplied dx with 0 thus obtained the equation secondly how you might have known to the Five but there are more than five to solve such differential equations according to their form. it falls on 1 to 5 fundamentals mentioned in the book ^_^
ok. and i found out a mistake. in the third step it should be partial derivative of M with respect to x and partial derivative of N with respect to y. but u have written partial derivative of M with respect to y and partial derivative of N with respect to x.
yes its the mistake thankyou to mention please everyone change it accordingly as miss seema spotted it out
ya bro i want to tell you that your solution is 100% correct. but??????????