Show that $f ( x ) = \sum _ { n = 0 } ^ { \infty } \frac { ( 8 x ) ^ { n } } { n ! }$ is a solution to the differential equation $\frac { d y } { d x } = 8 y$ .

Name: Show that $f ( x ) = \sum _ { n = 0 } ^ { \infty } \frac { ( 8 x ) ^ { n } } { n ! }$ is a solution to the differential equation $\frac { d y } { d x } = 8 y$ .
Brand: Quizplus
Rating: 4.9 (36 reviews)

Question

Quizplus · Accepted Answer

The Answer of Show that $f ( x ) = \sum _ { n = 0 } ^ { \infty } \frac { ( 8 x ) ^ { n } } { n ! }$ is a solution to the differential equation $\frac { d y } { d x } = 8 y$ .

Show That f(x)=∑n=0∞(8x)nn!f ( x ) = \sum _ { n = 0 } ^ { \infty } \frac { ( 8 x ) ^ { n } } { n ! }f(x)=∑n=0∞​n!(8x)n​

Show That $f ( x ) = \sum _ { n = 0 } ^ { \infty } \frac { ( 8 x ) ^ { n } } { n ! }$