SOLVED:In Problems 21-26, solve the initial value problem. (e^t y t e^t y) d t (t e^t 2) d y=0, y(0)=-1

SOLVED: Solve the initial value problem dx/dt = Ax with x(0) A = Xo = E]: That is find the eigenvalues, eigenvectors, C1, and C2 Write the 2 specific solution to the systems of differential equations Show all stepsExtra Credit: Find the nullclines in the bove systems of differential equations (problem

SOLVED:Consider the initial value problem (d x)/( d t)=10-x^2 with x(0)=0 i Solve this differential equation. ii Determine the approximate values of x at t=0.1,0.2,0.3,0.4 and 0.5 by using Euler's numerical formula with h=0.09 i Determine the approximate values of x at t=0.1,0.2,0.3,0.4 and 0.5 by using the improved Euler's formula. with h=0.09. iv Plot, on the same axes, the graphs of Euler's, the improved Euler's and the exact solutions. v Determine the percentage error at t=0.5 for Euler's

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