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Step-by-step Solution

Solve the differential equation $\left(1+x^4\right)dy+x\left(1+4y^2\right)dx=0$

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Solution

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Step-by-step Solution

Problem to solve:

$\left(1+x^4\right)\cdot dy+x\cdot\left(1+4y^2\right)\cdot dx=0$

Final Answer

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Similar Problems

$\left(1+x^4\right)\cdot dy+x\cdot\left(1+4y^2\right)\cdot dx=0$

$\frac{dy}{dx}=\frac{2x}{3y^2}$

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$dx+e^{3x}dy=0$

$\frac{dy}{dx}=\frac{3x^2+4x+2}{2\left(y+1\right)}$

$\frac{dy}{dx}=e^{3x+2y}$

$y'=x+8$
$\left(1+x^4\right)\cdot dy+x\cdot\left(1+4y^2\right)\cdot dx=0$

Main topic:

Differential Equations

Time to solve it:

~ 0.42 s

Related topics:

Differential EquationsFirst order differential equationsSeparable differential equationsIntegration by substitutionIntegration techniques

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