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人気のある微分積分 >

laplacetransform sin(2x+3)

解

ラプラス変換

sin (2 x + 3)

解

\frac{sin ( 3 ) s + 2 cos ( 3 )}{s ^{2} + 4}

解答ステップ

L {sin (2 x + 3)}

ラプラス変換表を使用する:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (2 x + 3)} = \frac{s sin ( 3 ) + 2 cos ( 3 )}{s ^{2} + 2 ^{2}}

= \frac{s sin ( 3 ) + 2 cos ( 3 )}{s ^{2} + 2 ^{2}}

= \frac{sin ( 3 ) s + 2 cos ( 3 )}{s ^{2} + 4}

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