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Solve the differential equation $3x\cdot dx=4y\cdot dy$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=C_1\sqrt[3]{x^{4}}$
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Step-by-step Solution

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Learn how to solve factorization problems step by step online. Solve the differential equation 3xdx=4ydy. Divide both sides of the equation by dx. Simplify the fraction \frac{3x\cdot dx}{dx} by dx. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.

Final answer to the problem

$y=C_1\sqrt[3]{x^{4}}$

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Function Plot

Plotting: $3x\cdot dx-4y\cdot dy$

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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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