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Popular >

expand (D+x)(D+1)e^x

Solution

expand

(D + x) (D + 1) e^{x}

Solution

D^{2} e^{x} + D e^{x} + D e^{x} x + e^{x} x

Solution steps

(D + x) (D + 1) e^{x}

= e^{x} (D + x) (D + 1)

Expand

(D + x) (D + 1) : D^{2} + D + D x + x

= e^{x} (D^{2} + D + D x + x)

Expand

e^{x} (D^{2} + D + D x + x) : D^{2} e^{x} + D e^{x} + D e^{x} x + e^{x} x

= D^{2} e^{x} + D e^{x} + D e^{x} x + e^{x} x

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Frequently Asked Questions (FAQ)

What is expand (D+x)(D+1)e^x ?
The solution to expand (D+x)(D+1)e^x is D^2e^x+De^x+De^xx+e^xx