Question

The general solution of a differential equation is $y=k{e}^x$. The particular solution of the equation if the curve passes through (0,1) is .

• A. $y=k{e}^x$
• B. $y=e^x$
• C. $y=2e^x$
• D. $y=e^x+1$

Answer 1

The correct option is B $y=e^x$

The curve passes through (0,1). So we will substitute the point (0,1) in the given equation $y=k{e}^x$.
$1=k.1$
$\Rightarrow k=1$
So the particular solution is $y=e^x$