Question

solve the diff eq dy\dx+3x^2*y=x^5*e^x^3

Answer 1

this follows the same method

Answer 2

as above

Answer 3

Yes, Here u Chose U as U = e^int( 3x^2)

Answer 4

\[U \times y \int\limits_{}^{} U \times x ^{5\times}e ^{x ^{3}}\]

Answer 5

no...not required, u can take u=x^3

Answer 6

aha, count it as a seperabel?

Answer 7

after simplification, the eq. becomes
\[y dy = (1/3) (x^3 . e^ (x^3))

Answer 8

ignore \[ in the beginning

Answer 9

so in RHS, u can take u=x^3 and solve....okay?

Answer 10

Are u sure u have done right ..

Answer 11

hmmm

Answer 12

aren't you getting the same?

Answer 13

noo?

Answer 14

\[Dy \div Dx + 3x ^{2} y=x ^{5} e ^{x ^{3}}\]

Answer 15

he means i hope..

Answer 16

yeah its the same eq
the ans is \[12y=e ^{x ^{3}}(2x^3-1)+ce ^{-x ^{3}}\]
how to get that?