Match the differential equation with its direction field. y ′ = 10(x + y) − 1 ** I already found the matching graph, but
Posted: Thu Jul 14, 2022 4:45 pm
Match the differential equation with its direction field.
y ′ = 10(x + y) − 1
** I already found the matching graph, but don't know the answerfor reasoning.
Give reason for your answers.
1. y ′ = 10(x + y) − 1 = 0 onthe lines x = 0and y = 10.
2. y ′ = 10(x + y) − 1 = 0 onthe line y = −x +1/10, and y ′ = −1 on theline y = −x.
3. y ′ = 10(x + y) − 1 = 0on the lines x = 0 and y = 0, and y ′ >0 for 0 < x < 𝜋/10, 0< y < 𝜋/10.
Answer is one of these three. Thank you.
y ′ = 10(x + y) − 1
** I already found the matching graph, but don't know the answerfor reasoning.
Give reason for your answers.
1. y ′ = 10(x + y) − 1 = 0 onthe lines x = 0and y = 10.
2. y ′ = 10(x + y) − 1 = 0 onthe line y = −x +1/10, and y ′ = −1 on theline y = −x.
3. y ′ = 10(x + y) − 1 = 0on the lines x = 0 and y = 0, and y ′ >0 for 0 < x < 𝜋/10, 0< y < 𝜋/10.
Answer is one of these three. Thank you.