Homework SourseFind the general solution to the differential equation y12x1
Find the general solution to the differential equation
y\'+12x^(11)y=x^12
Use the variable I= the integral of e^(x^12) dx where it occurs in your answer.
there\'s supposed to be simple solution to this (not the complicated one from Wolfram) but I don\'t know how to solve it. Please help?
Please show steps so I can understand. Thank you
DON\'T COPY FROM YAHOO.
y\'+12x^(11)y=x^12
Use the variable I= the integral of e^(x^12) dx where it occurs in your answer.
there\'s supposed to be simple solution to this (not the complicated one from Wolfram) but I don\'t know how to solve it. Please help?
Please show steps so I can understand. Thank you
DON\'T COPY FROM YAHOO.
Solution
multiply both side by integrating factor : e^x^12 left side becomes perfect integral : y e^(x^12) = integrate [e^x^(12) * x^12 dx] + c keep the right as it is , dont integrate it !! sometimes we leave it as it is !!![Find the general solution to the differential equation y\'+12x^(11)y=x^12 Use the variable I= the integral of e^(x^12) dx where it occurs in your answer. there\](/WebImages/35/find-the-general-solution-to-the-differential-equation-y12x1-1104943-1761584607-0.webp "Find the general solution to the differential equation y\'+12x^(11)y=x^12 Use the variable I= the integral of e^(x^12) dx where it occurs in your answer. there\")
