Consider the following initial-value problem. (y² cos(x) - 3x²y - 6x) dx + (2y sin(x) − x³ + In(y)) dy = 0, af Let = ?х y² cos(x) - 3x²y - 6x. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) = Find the derivative of h(y). h'(y) = ln (y) + h(y) Solve the given initial-value problem. X y(0) = e
Consider the following initial-value problem. (y² cos(x) - 3x²y - 6x) dx + (2y sin(x) − x³ + In(y)) dy = 0, af Let = ?х y² cos(x) - 3x²y - 6x. Integrate this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) = Find the derivative of h(y). h'(y) = ln (y) + h(y) Solve the given initial-value problem. X y(0) = e
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 31E
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