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- Find an example of a nonlinear equation, which is not solvable using any of the methods: separable, linear, solvable by a standard substitution (Bernoulli, homogeneous or linear combination) and which has y=x^2 as one of its solutions.Determine the solution of the system of differential equations where a, b belong to R- [0]what is wrong with my python code? I am trying to write a code to plot the direction field/phase portrait for a system of linear differential equations. The solution passes through (-2,-2) and the equations are x_1'=2x_1 - x_2 and x_2'=-x_1 + x_2
- Suppose thay a drug is administered to a person in a single dose, and assume that the drug does not accumulate in body tissue, but is excerted through urine. Denote the amount of drug in the body at time t by x1(t) and in the urine at time t by x2(t). If x1(0)=6 mg and x2(0)=0, can you find a system of differential equations for x1(t) and x2(t) if it takes 20 minutes for the drug to be at one-half of its initial amount in the body?Find a particular solution of the nonhomogeneous equation that does not involve any terms from the homogeneous solution.Find the solution of the system of differential equation
- Solve the system of Differential Equations with the given initial condition.The method of undetermined coefficients can sometimes be used tosolve first-order ordinary differential equations. Use the method tosolve the equations y' - 3y = 5e3xSuppose everyone in Los Angeles is either a UCLA fan (C) or a USC fan (S). USC fans convert to supporting UCLA at a per-capita rate of 5%. But every time a UCLA fan encounters a USC fan, there is a 1% chance that they become a USC fan. Finally, USC fans get fed up and move to Orange County at a rate proportional to the number of UCLA fans, with a proportionality constant of 0.08. Set up a system of differential equations to describe this situation.