cos x dy/dx + y sin x = sin x cos x dy/dx - y/x = (ln x)^4 How would i solve for find y in these two problems? I'm looking over a similar example which used substitution but I'm confused on these two.
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Originally Posted by krzyrice cos x dy/dx + y sin x = sin x cos x dy/dx - y/x = (ln x)^4 How would i solve for find y in these two problems? I'm looking over a similar example which used substitution but I'm confused on these two. This is now first order linear, so the integrating factor is . Multiplying through by the integrating factor gives: .
Originally Posted by krzyrice cos x dy/dx + y sin x = sin x cos x dy/dx - y/x = (ln x)^4 How would i solve for find y in these two problems? I'm looking over a similar example which used substitution but I'm confused on these two. . This is first order linear, so the integrating factor is . Multiplying through by the integrating factor gives: . Now make the substitution so that , the equation becomes .
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