MATH 240 Midterm: MATH 240 KSU 240a2u98

• School: Kansas State University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. Write the expression 3 cos(x) sin(x) in the form a cos( x ) . (10) 2. Solve: y + 2y + y = 0. Find a base {y1, y2} for the space of solutions of the equation: Name: y + 4y + 3y = 0. Ckeck that y1 and y2 are linearly independent (hint: use the wronskian or by a direct check). (10) 4. Name: y + 2y 3y = e 3x. Solve the boundary value problem: y + 10y + 21y = 0, y(0) = 4, y(1) = 1. A mass of 1 kg is attached to a undamped spring, stretching the spring. The mass is pulled down 20 cm and released. An electric circuit has a coil with inductance 2 henrys, a resistor of. The circuit has an impressed voltage of 170 cos(120 t) .