Solve the first-order system that satisfies the given initial conditions using the Euler Method for y(0.5) and z(0.5), using a mesh size of h=0.1: y′′−6z^2z′−y′−x^3y=0;y(0)=1, y′(0)=1.5. z′′′+3y^2(z′′)^2−5z′−x^2z=0;z(0)=1.25, z′(0)=1.5, z′′(0)=2. Please help. I just can’t figure this problem out. We’re supposed to use u=y, v=y′, w=z, g=z′, k=z′′ when defining first-order system of ODE’s.

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