Brilliant

Practice

Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

First Order Differential Equations

Differential Equations - dy/dx = g(y)

If $\displaystyle \frac{dy}{dx}=9x^2y$ and $y(0)=6,$ which of the following is true?

y=e^{3 x^3}+5

y=6 e^{3 x^3}

y=7 e^{3 x^3}

y=e^{3 x^3}+6

View wiki

by Brilliant Staff

If $\displaystyle \frac{dy}{dx}=\frac{8x}{y}$ and $y(0)=3,$ which of the following is true?

y=4x^2+9

y^2=4x^2+9

y=8x^2+9

y^2=8x^2+9

View wiki

by Brilliant Staff

If $\displaystyle \frac{dy}{dx}=\frac{y^2}{x}$ and $\displaystyle y(1)=\frac{1}{8},$ which of the following is true?

y=\frac{1}{\ln x-8}

y=\frac{1}{\ln x+8}

y=\frac{-1}{\ln x-8}

y=\frac{-1}{\ln x+8}

View wiki

by Brilliant Staff

If $\displaystyle \frac{dy}{dx}=e^y$ and $y=0$ when $x=6,$ which of the following is true?

e^{-y}=7-x

e^{-y}=x-7

y=-\ln \lvert{7-x}\rvert

y=\ln \lvert{7-x}\rvert

View wiki

by Brilliant Staff

If $\displaystyle \frac{dy}{dx}=8xy^2$ and $\displaystyle y(0)=\frac{1}{5},$ which of the following is true?

y=-\frac{1}{4x^2+5}

y=-\frac{1}{4x^2-5}

y=\frac{1}{4x^2-5}

y=\frac{1}{4x^2+5}

View wiki

by Brilliant Staff

Problem Loading...

Note Loading...

Set Loading...