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11. [-/1 Points] DETAILS SCALCET8 9.5.023. MY NOTES ASK YO A Bernoulli differential equation (named after James Bernoulli) is of the form dx dy +

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11. [-/1 Points] DETAILS SCALCET8 9.5.023. MY NOTES ASK YO A Bernoulli differential equation (named after James Bernoulli) is of the form dx dy + P ( x ) y = Q(x)yn. Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, show that the substitution u = yl - transforms the Bernoulli equation into the linear equation dx du + ( 1 - n) P ( x ) u = (1 - n) Q(x). This answer has not been graded yet. Submit Answer 12. [-/1 Points] DETAILS SCALCET8 9.5.025. MY NOTES ASK A Bernoulli differential equation (named after James Bernoulli) is of the form dy + P ( x ) y = Q (x) yn. dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl - transforms the Bernoulli equation into the linear equation dx du + (1 - n) P (x )u = (1 - n)Q(x). Use the substitution u = yl - ^ to solve the differential equation. y' + 2 y = 615

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