If we limit ourselves to input signals shaped like sines or cosines, we can develop a whole AC analysis method to figure out what happens in circuits with changing signals. The methods are far simpler than solving a differential equation.
11616_AC_analysis_intro_2.html
11618_Sine_and_cosine_come_from_circles.html
11620_Sine_and_cosine_from_rotating_vector.html
11636_KVL_in_the_frequency_domain.html
11623_Multiplying_by_j_is_rotation.html
11626_Complex_exponential_magnitude.html
11629_Euler_s_cosine_wave.html
11631_AC_analysis_superposition.html
11617_Trigonometry_review.html
11627_Complex_exponentials_spin.html
11615_AC_analysis_intro_1.html
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