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Please in the answer show a MatLab code and a picture of the graph Consider the following differential equation: dy/dx = sin(xy^2) a. Use the

Please in the answer show a MatLab code and a picture of the graphimage text in transcribed

Consider the following differential equation: dy/dx = sin(xy^2) a. Use the MATLAB routine ode 45 to generate approximate solutions to this differential equation over the interval -2 lessthanorequalto x lessthanorequalto 3 first with initial condition y(-1) = 0 and then with initial condition y(-1) = 1. b. Graph the two computed solutions on the same set of axes using the following formatting instructions. Create a title that contains your name and describes the graph (something like "Numerical Solutions of dy/dx = cos(xy^2) by I. M. Smart")obviously your real name! Be sure to label your axes. The only variables in the problem axe x and y. Don't use other letters in your axis labels. Include a date/time stamp. Consider the following differential equation: dy/dx = sin(xy^2) a. Use the MATLAB routine ode 45 to generate approximate solutions to this differential equation over the interval -2 lessthanorequalto x lessthanorequalto 3 first with initial condition y(-1) = 0 and then with initial condition y(-1) = 1. b. Graph the two computed solutions on the same set of axes using the following formatting instructions. Create a title that contains your name and describes the graph (something like "Numerical Solutions of dy/dx = cos(xy^2) by I. M. Smart")obviously your real name! Be sure to label your axes. The only variables in the problem axe x and y. Don't use other letters in your axis labels. Include a date/time stamp

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