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Chapter 1: Q8RP (page 1)

Decide whether the statement made is True or False. The function y(x)=-13(x+1) is a solution to dydx=y-1x+3.

Short Answer

Expert verified

The statement is false.

Step by step solution

01

Differentiating y(x)=-13(x+1) concerning x.

The given differential equation is,

y(x)=-13(x+1)dydx=-13(1+0)=-13

02

Substituting the value of y(x) in  dydx=y-1x+3.

Right hand side of the equation becomes,

y-1x+3=-13(x+1)-1x+3=-x-1-33(x+3)=-x-43(x+3)

Left Hand Side of the equation becomes,

dydx=-13

LHS ≠ RHS

Hence, the statement is not true.

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