Question: 8 . Use the ode 4 5 cm to solve the following problem, d y / d x = ( x ) + x ^

8. Use the ode 45cm to solve the following problem,
d y/d x=(x)+x^2(y)/5 for 0<= x <=5 with y(0)=1
First create an anonymous function, use ode45 to solve, and plot the solution and also plot of the initial value. After all the plotting cmds use the savefig and print cmds to save the figure. Refer to previous labs and the example code and image (below).9. Use the ode45 cmd to solve the following problem,
d y/d x=(x y)-0.5 y e^-0.125 x for 0<= x <=3 with y(0)=5.5
First create an anonymous function, use ode45 to solve, and plot the solution and also plot of the initial value. After all the plotting cmds use the savefig and print cmds to save the figure. Refer to previous labs and the example code and image (below).10. Use the ode 45 cmd to solve the following problem,
d y/d t=70 e^-1.5 tcos (4 t)-0.4 y for 0<= t <=3 with y(0)=0
First create an anonymous function, use ode45 to solve, and plot the solution and also plot of the initial value. After all the plotting cmds use the savefig and print cmds to save the figure. Refer to previous labs and the example code and image (below). Use the following linspace cmd for a smooth curve
[t, v]=ode 45(F, l inspace(0,3,100),0) ; % Use linspace for a smooth curve

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