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Popular >

simplify te^atcos(bt)

Solution

simplify

t \cdot e^{a} t \cdot cos (b t)

Solution

e^{a} t^{2} cos (t b)

Solution steps

t e^{a} t cos (b t)

Apply exponent rule:

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

tt = t^{1 + 1}

= e^{a} t^{1 + 1} cos (b t)

Add the numbers:

1 + 1 = 2

= e^{a} t^{2} cos (b t)

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Frequently Asked Questions (FAQ)

What is t*e^at*cos(bt) ?
The solution to t*e^at*cos(bt) is e^at^2cos(tb)