# Differential equations

920 views
0

From problem one to problem twelve, verify that every function is a solution of the differential equation that is provided through substitution. also prime note derivatives with respect to x.

tutor Answered question August 26, 2022

0

You did not post the equation, but we can use this one in order to have an illustration.
y= 3×2; y=x3+7

3×2 means the x squared
x3+7 means x cubic plus seven.
WORKING.
To find the correct answer, we have to follow the differential equations formulae solve the equation, and simplify the solution.
Step one
Differentiating y from x using the respective differential equation formulae
y(x)=x3 + 7
y(x)by/dx(x)3dy/dx(7)
simplify the equation above in order to get the value of (x)y
v(x)=3×2+0
y(x)=3×2

Substitution
Final ans3wer
y=3×2

tutor Answered question August 26, 2022
0

You do not post the equation, but we can use this one in order to have an illustration.
y= 3×2; y=x3+7

3×2 means the x squared
x3+7 means x cubic plus seven.

WORKING.
To find the correct answer, we have to follow the differential equations formulae solve the equation, and simplify the solution.
Step one
Differentiating y from x using the respective differential equation formulae
y(x)=x3 + 7
y(x)by/dx(x)3dy/dx(7)
simplify the equation above in order to get the value of (x)y
v(x)=3×2+0
y(x)=3×2
Substitute 3×2 with y
3×2 =3×2
Final ans3wer
y=3×2

Teacher Answered question August 25, 2022