Differential Equations

Which curve solves the differential equation and passes through the point (0,2)?

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Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

dy/dx = 2x/e^2y find the general solution

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  $y=\frac{1}{2}\ln(2x^2+C)$

• $y=\ln(2x^2)+c$

• y = e^2x+c

• y = mx+b

dy/dx= x √y

Find the general solution

• √y = ln|4x| + c

• √y = (x)^-1 + c

• 2y^1/2 = ln|x| + c

• 1/2y^1/2 = ln|x| + c

Solve the equation.

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Solve  $\frac{dy}{dx}=x^3y$  

•  $y=\frac{4}{Cx^4}$  

•  $y=e^{\frac{x^4}{4}}+C$  

•  $y=Ce^{3x^2}$  

•  $y=Ce^{\frac{x^4}{4}}$