(t)*(dy/dt) - y = (t^3)(sin t) and then use initial value y(pi) = 0 to find the constant of integration the answer i got for C was ((pi^2) - 2)/pi can someone verify this for me?? and also the answer i got was y = (1/t)*[ (t^2)(cos t) + (2t)(sin t) - (2cos t) + C] i used the integrating factor method
well after rearranging t and y, I got my answer in the form: dy/dt = (1/t)y +(t^2)(sin t) dt then i got my integrating factor as t and after putting substituting in the equation i got the answer i posted where did i go wrong? can you show me my mistake?
after trying it again i think i caught my mistake: i had an extra negative sign while finding out the integrating factor: after repeating it i got the integration factor to be (1/t) and my final answer is: y = (t^2)(cos t) + (t)(sin t) + C this has to be correct? am i right?