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Popular >

factor xe^{3t}+ye^t

Solution

factor

x \cdot e^{3 t} + y \cdot e^{t}

Solution

e^{t} (e^{2 t} x + y)

Solution steps

x e^{3 t} + y e^{t}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

e^{3 t} = e^{t} e^{2 t}

= x e^{t} e^{2 t} + y e^{t}

Factor out common term

e^{t}

= e^{t} (x e^{2 t} + y)

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Frequently Asked Questions (FAQ)

What is factor x*e^{3t}+y*e^t ?
The solution to factor x*e^{3t}+y*e^t is e^t(e^{2t}x+y)