Euler Method to solve system of first order differential equations x’=-y+2cos(t),y’=-y^2+4cos(t),x(0)=1,y(0)=0 in the interval [0, 2]

Introduction : In this question , we will present Euler Method to solve system of first order differential equations x’=-y+2cos(t),y’=-y^2+4cos(t),x(0)=1,y(0)=0.Question: Euler Method to solve system of first order differential equations \[x’=-y+2cos(t),y’=-y^2+4cos(t)\]such that x(0)=1,y(0)=0 in the interval [0, 2]Solution :\[x’=-y+2\cos\left(t\right)=f\left(t,\ x,\…

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