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Solving: ddx(3yey=cos⁡(y2−x)3)\frac{d}{dx}\left(3ye^y=\cos\left(y^2-x\right)^3\right)
Solve instead: dydx(3yey=cos3(y2−x))\frac{dy}{dx}\left(3ye^y=cos^3\left(y^2-x\right)\right)

Exercise

dydx(3yey=cos3(y2−x))\frac{dy}{dx}\left(3ye^y=cos^3\left(y^2-x\right)\right)

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Final answer to the exercise

y′=−yey+cos⁡(y2−x)2sin⁡(y2−x)ey+2ycos⁡(y2−x)2sin⁡(y2−x)y^{\prime}=\frac{-ye^y+\cos\left(y^2-x\right)^{2}\sin\left(y^2-x\right)}{e^y+2y\cos\left(y^2-x\right)^2\sin\left(y^2-x\right)}

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Similar Questions Solved

dydx=y−x\frac{dy}{dx}=y-x

(x2+1)dydx+3xy=6x\left(x^2+1\right)\frac{dy}{dx}+3xy=6x

dydx=xy+2\frac{dy}{dx}=xy+2

dydx=xy+1\frac{dy}{dx}=xy+1

dydx=xy−1\frac{dy}{dx}=xy-1

dydx=1+xy\frac{dy}{dx}=1+xy

dydx=2xy+1\frac{dy}{dx}=2xy+1

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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dydx (3yey=cos3(y2−x))
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