Conditions: (5 marks) consider the following differential equation and associated initial -1/v = 21, with y(0) = 1 and y(0) = 0. (a) rewrite the above differential equation as a system of two ordinary differential equations with associated initial conditions for each of the variables in the system. (b) are there any intervals for which the conditions for the existence-uniqueness theorem for systems of equations are not satisfied for the differential equation and its associated system) here? if so, identify the key elements of such intervals, along with the conditions that are violated.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !