# october 10

Solve:

• $y”-2y’+y=te^t;$
• $y”-2y’+y=t^2e^t;$
• $y”-2y’+y=t^3e^t;$
• $y”+y=t\sin(t);$
• $y”+y=t^2\sin(t);$
• $y”+y=t^3\sin(t);$
• $t^2y”+ty’-4y=t^{-2};$
• $t^2y”-2y=t^{-2};$
• $t^2y”+ty’+y=10t^3.$