Final answer to the problem
$y=0,\:y=\sqrt{\frac{-\left(x+2\right)}{e^x\cdot x^{5}}},\:y=-\sqrt{\frac{-\left(x+2\right)}{e^x\cdot x^{5}}}$
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Step-by-step Solution
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- Solve for x
- Solve for y
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
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- Derivative
- Find the derivative using the definition
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1
Any expression to the power of $1$ is equal to that same expression
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$xy+2y+x^5y^3e^x=0$
Learn how to solve equations problems step by step online. Solve the equation with radicals xy^1+2yx^5y^3e^x=0. Any expression to the power of 1 is equal to that same expression. Factor the polynomial xy+2y+x^5y^3e^x by it's greatest common factor (GCF): y. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1).
Final answer to the problem
$y=0,\:y=\sqrt{\frac{-\left(x+2\right)}{e^x\cdot x^{5}}},\:y=-\sqrt{\frac{-\left(x+2\right)}{e^x\cdot x^{5}}}$
