Differential Equations - Separable Variable Method

Differential Equations - Separable Variable Method

University

10 Qs

quiz-placeholder

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Differential Equations - Separable Variable Method

Differential Equations - Separable Variable Method

Assessment

Quiz

Mathematics

University

Medium

CCSS
HSA.CED.A.1, HSF.LE.A.4, HSF.TF.B.7

+3

Standards-aligned

Created by

Mohd Nor Rosniza

Used 736+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following Differential Equation is
 dydx=yx\frac{\text{d}y}{\text{d}x}=\frac{y}{x}  

Separable.

Non Separable

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following Differential Equation is
 dydx=x2y+x\frac{\text{d}y}{\text{d}x}=x^2y+x  

Separable.

Non Separable.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following Differential Equation is
 xdydx=yx2x\frac{\text{d}y}{\text{d}x}=yx^2  

Separable.

Non Separable.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following Differential Equation is
 dydx=y2+xy2\frac{\text{d}y}{\text{d}x}=y^2+xy^2  

Separable.

Non Separable.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The following Differential Equation is
 dydx=eyex\frac{\text{d}y}{\text{d}x}=\frac{e^y}{e^x}  

Separable.

Non Separable.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following differential equations:
 dydx=xy\frac{\text{d}y}{\text{d}x}=\frac{x}{y}  

 lny=x22+C\ln y=\frac{x^2}{2}+C  

 y=x22+Cy=\frac{x^2}{2}+C  

 x2=y2+Cx^2=y^2+C  

 y2=x2+2Cy^2=x^2+2C  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following differential equations:
 dydx=yx\frac{\text{d}y}{\text{d}x}=\frac{y}{x}  

 y=Axy=Ax  

 y2=lnx+Cy^2=\ln x+C  

 lny=x22+C\ln y=\frac{x^2}{2}+C  

 A=yxA=yx  

Tags

CCSS.HSF.LE.A.4

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