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Solve the differential equation $y\cdot dy=7x\cdot dx$

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Solution

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Final answer to the problem

$y=\sqrt{7x^2+C_1},\:y=-\sqrt{7x^2+C_1}$
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Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation ydy=7xdx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int ydy and replace the result in the differential equation. Solve the integral \int7xdx and replace the result in the differential equation. Find the explicit solution to the differential equation. We need to isolate the variable y.

Final answer to the problem

$y=\sqrt{7x^2+C_1},\:y=-\sqrt{7x^2+C_1}$

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Function Plot

Plotting: $y\cdot dy-7x\cdot dx$

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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:

Similar Problems Solved

$\frac{dy}{dx}=y^2-9$

$\frac{dy}{dx}=y^2-4$

$\frac{dy}{dx}=y-y^2$

$\frac{dy}{dx}=y\left(y+2\right)$

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

$\frac{dy}{dx}=\frac{x}{2x-y}$

$\frac{dy}{dx}=\frac{x+3y}{x-y}$

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (2)

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