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In Exercises $1-10,$ find the general solution to the exact differential equation.$$\frac{d u}{d x}=\left(\sec ^{2} x^{5}\right)\left(5 x^{4}\right)$$

$$u=\tan x^{5}+c$$

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 6

Differential Equations and Mathematical Modeling

Section 1

Slope Fields and Euler's Method

Differentiation

Integration Techniques

Differential Equations

Second-Order Differential Equations

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this question asked us to find the general solution to the exact differential equation. What we know is that we've been given D'You over DX. What we're gonna do is gonna put the D u on the left hand side, been right out or function, and then put the D backs take the integral of both sides integrate and we have you is tan because we know the interval sequence scored. Exes tan of our fraction is X to the fifth and then plus C.

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