In: Advanced Math
a) 8t*dydt+y=t^3, t>0
Put the problem in standard form.
Then find the integrating factor,
μ(t)=________
b) 5(sin(t)dydt+cos(t)y)=cos(t)sin6(t), for 0<t<π and y(π/2)=18.
Put the problem in standard form.
find y(t)=___________
c) 13(t+1)dydt−9y=36t, for t>−1
with y(0)=18
Put the problem in standard form.
find y(t)=_______
d) x^2−4xy+x*dydx=0
Put the problem in standard form.
Find the integrating factor, ρ(x)=