$\displaystyle \dfrac{dy}{dx}=\dfrac{xy^2+x}{y}\\ \dfrac{dy}{dx}=\dfrac{x(y^2+1)}{y}\\ \dfrac{y}{y^2+1}\, dy=x\, dx\\ \int \dfrac{y}{y^2+1}\, dy=\int x\, dx\\ \dfrac{\ln (y^2+1)}{2}=\dfrac{x^2}{2}+C\\ \ln(y^2+1)=x^2+C\\ y^2+1=e^{x^2+C}\\ y^2=e^{x^2+C}-1\\ y=\sqrt{e^{x^2+C}-1} \vee y=-\sqrt{e^{x^2+C}-1}\\ \boxed{y=\sqrt{Ce^{x^2}-1} \vee y=-\sqrt{Ce^{x^2}-1}}\\$

7 0

4 years ago

Write an equation to represt this statement 34.7 less than z is 68.2

m_a_m_a [10]

Hoi!

Here's how you would write this.

z - 34.7 = 68.2

"Less than" indicates subtraction, but from what? "Less than z", so we're subtracting something from z. If you look at the equation, how would we calculate 34.7 less than z? To do this, we would subtract 34.7 from z. Since we're given our answer to the equation, just slap that into the equation after an "equals" symbol, and you're finished!

7 0

4 years ago

What is 16,and 30 (LCM)?

mel-nik [20]

Answer:

240

plz mark as brainliest

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

1/4, -3/7, 1/2<br> Least to greatest

Kaylis [27]

Answer:

-3/7, 1/4, 1/2

Step-by-step explanation:

The larger the denominator the smaller the fraction.

8 0

4 years ago