7.2 Intro to Differential Equations

Intro to Differential Equations

Please watch the videos and answer all the questions in the following lesson. I will give you a classwork grade upon correctly finishing this lesson.

Math Response

Solve the following Differential Equation: $$\frac{dy}{dx}=5x^4-\sec^2x$$

Type answer here

Correct Answer: y=x^5-\tan x+c

Deg^°

Rad

Multiple Choice

Solve the following differential equation:

$$\frac{dy}{dx}=e^{3x}-5\sin x$$

• $$y=e^{3x}-5\cos x+C$$

• $$y=\frac{e^{3x}}{\ln3}+5\cos x+C$$

• $$y=\frac{e^{3x}}{3}+5\cos x+C$$

• $$e^{3x}-5\sin x+C$$

Multiple Choice

Solve the following differential equation:

$$\frac{dy}{dx}=\frac{1}{x}-3x^5+1$$

• $$y=\ln\left|x\right|-\frac{x^6}{2}+x+C$$

• $$y=x^0-\frac{x^6}{2}+x+C$$

• $$y=\ln\left|x\right|-18x^6+x+C$$

• $$y=e^x-\frac{x^6}{2}+x+C$$

Math Response

Find the particular solution if the derivative is $$f'\left(x\right)=3x^2$$ and the function passes through the point $$\left(1,\ -1\right)$$

Type answer here

Correct Answer: y=x^3-2

Deg^°

Rad

The end of lesson

Once finished,

Make sure to go back and complete the practice quizizz from the previous class to get full credit. I will be grading your written work.