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Simplifying -500 = exp(0.2t) * cos(t) Remove parenthesis around (0.2t) -500 = epx * 0.2t * cos(t) Reorder the terms for easier multiplication: -500 = 0.2epx * t * cos * t Multiply epx * t -500 = 0.2eptx * cos * t Multiply eptx * cos -500 = 0.2ceopstx * t Multiply ceopstx * t -500 = 0.2ceopst2x Solving -500 = 0.2ceopst2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.2ceopst2x' to each side of the equation. -500 + -0.2ceopst2x = 0.2ceopst2x + -0.2ceopst2x Combine like terms: 0.2ceopst2x + -0.2ceopst2x = 0.0 -500 + -0.2ceopst2x = 0.0 Add '500' to each side of the equation. -500 + 500 + -0.2ceopst2x = 0.0 + 500 Combine like terms: -500 + 500 = 0 0 + -0.2ceopst2x = 0.0 + 500 -0.2ceopst2x = 0.0 + 500 Combine like terms: 0.0 + 500 = 500 -0.2ceopst2x = 500 Divide each side by '-0.2eopst2x'. c = -2500e-1o-1p-1s-1t-2x-1 Simplifying c = -2500e-1o-1p-1s-1t-2x-1
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