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- Find general solutions of equations of type riccati.Illustrate iterative formula of Euler’s method for systems?Consider a disease where immunity is lost. On average, aftern days, a recovered person becomes susceptible again. Adjust the equationsfor ds/dt , di/dt, and dr/dt in the SIR model to account for this.
- prove theorem 4 and theorem 5 Pls do it fast! Within 20 min and i will rate instantly for sure Solution must be in typed formapply Jacobi's method to the given system.Take the zero vector as the initial approximation and work with four-significant- digit accuracy until two successive iterates agree within 0. 001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 4.5a -0.5b = 1 a -3.5b = -1Find the intersection of the sphere x2 + y2 + z2 = 9 and a cylinder x2+y2=4. Please solve without calculus and only vectors, please. Also, please show full working and explanation for each step.