Ode (Phase Portrait; Rough Sketch Solution)

Draw the phase portrait associated with {see attachment} and draw a rough sketch of the solution x(t) that satisfies {see attachment}.

Ode (Eigenvalues; Eigenvectors)

Let A = {see attachment} a. Solve x' = Ax b. Solve x' = Ax subject to x(0) = 0

using malthus method

suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days, determine the number of bacteria present after 30 days. How much time is required for the population to reach 4250 in number

Simple ODE

Please give me a step-by-step solution to this attached ODE. Thanks! (Attached: Solve the following differential equation ... )

Simple ODE

Please give me a step-by-step solution to this attached ODE. Thanks!