What is factor ae^xsin(x)+be^xcos(x) ?

The solution to factor ae^xsin(x)+be^xcos(x) is e^x(asin(x)+bcos(x))

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factor ae^xsin(x)+be^xcos(x)

factor

a e^{x} sin (x) + b e^{x} cos (x)

e^{x} (a sin (x) + b cos (x))

Solution steps

a e^{x} sin (x) + b e^{x} cos (x)

Factor out common term

e^{x}

= e^{x} (a sin (x) + b cos (x))

- 2 (x + 3)^{2} + 5

- x + (- 2)

5^{8} + 2^{6}

- x + (- 1)

e^{2 x} \frac{d y}{d x} + 2 e^{2 x} y

What is factor ae^xsin(x)+be^xcos(x) ?
The solution to factor ae^xsin(x)+be^xcos(x) is e^x(asin(x)+bcos(x))