An electric circuit contains a 1-H inductor, a 4-OHM resistor, and a voltage source of sint. The resulting differential equation relating the current I and the time t is di/dt+4i=sin t. Find I after 0.5 s by Euler's method with ?? t=0.1s if the initial current is zero. Solve the equation exactly and compare the values.

An electric circuit contains a 1-H inductor, a 4-Q resistor, and a voltage source of sin t. The resulting differential equation relating the current i and the time t is di / di + 41= sin t Find F after 0.5 s by Euler's method with At = 0.1 s it the initial current is zero. Solve the equation exactly and compare the values. Use Euler's method to find i after 0.5 s. approx A (Round the final answer to four decimal places as needed. Round all intermediate values to nine decimal places as needed.)