# Differential equations

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.

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