Consider the differential equation y' - y = sgn(x), with the initial condition y(0) = 0,...

 

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Consider the differential equation y' - y = sgn(x), with the initial condition y(0) = 0, where 1, x 0, sgn(x) = Hint: == sgn(x) = 2u(x)-1, where u(x) = (1, x 0, 0,x <0. (i) (1 pt) Write down the method you would use for this problem and explain why you choose that method. (ii) (1 pt) Find the value of y(2). Show your work as much as possi- ble and say where you get stuck if you can not solve the equation Consider the differential equation y' - y = sgn(x), with the initial condition y(0) = 0, where 1, x 0, sgn(x) = Hint: == sgn(x) = 2u(x)-1, where u(x) = (1, x 0, 0,x <0. (i) (1 pt) Write down the method you would use for this problem and explain why you choose that method. (ii) (1 pt) Find the value of y(2). Show your work as much as possi- ble and say where you get stuck if you can not solve the equation

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i I would use the method of solving linear differential equations because the given differenti... View the full answer