Solve the following differential equation y'= -y sin(t), y(0) = 1, 1. Analytically (i.e., by hand)....

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Solve the following differential equation y'= -y sin(t), y(0) = 1, 1. Analytically (i.e., by hand). This is the EXACT solution. 2. Write a C program that combines Euler's method and Runge-Kutta method. a) Must use functions( e.g., function 1 (EULER) and function 2 (RUNGEKUTTA) b) Print your results in a table (see below) EULER ** ++ c) Write a detailed conclusion. RUNGEKUTTA ** ... EXACT .. .. Solve the following differential equation y'= -y sin(t), y(0) = 1, 1. Analytically (i.e., by hand). This is the EXACT solution. 2. Write a C program that combines Euler's method and Runge-Kutta method. a) Must use functions( e.g., function 1 (EULER) and function 2 (RUNGEKUTTA) b) Print your results in a table (see below) EULER ** ++ c) Write a detailed conclusion. RUNGEKUTTA ** ... EXACT .. ..