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Quizizz 7 Differential Equation - Separable Variable

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

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

a)

Separable.

b)

Non Separable

2.

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

a)

Separable.

b)

Non Separable.

3.

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

a)

Separable.

b)

Non Separable.

4.

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

a)

Separable.

b)

Non Separable.

5.

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

a)

Separable.

b)

Non Separable.

6.

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

a)

 lny=x22+C\ln y=\frac{x^2}{2}+C  

b)

 y=x22+Cy=\frac{x^2}{2}+C  

c)

 x2=y2+Cx^2=-y^2+C  

d)

 y2=x2+Cy^2=x^2+C  

7.

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

a)

 y=Axy=Ax  

b)

 y2=lnx+Cy^2=\ln x+C  

c)

 lny=x22+C\ln y=\frac{x^2}{2}+C  

d)

 A=yxA=yx  

8.

Solve the following differential equations:
 dydx=1cosy\frac{\text{d}y}{\text{d}x}=\frac{1}{\cos y}  

a)

 siny=1+C\sin y=1+C  

b)

 siny=x+C\sin y=x+C  

c)

 siny=x22+C-\sin y=\frac{x^2}{2}+C  

d)

 siny=0+C\sin y=0+C  

9.

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

a)

 1=ex+C1=e^x+C  

b)

 y=ex2+Cy=\frac{e^x}{2}+C  

c)

 y=ex+Cy=e^x+C  

d)

 0=ex+C0=e^x+C  

10.

Solve the following differential equations:
 dydx=3y\frac{\text{d}y}{\text{d}x}=3y  

a)

 y=Ce3xy=Ce^{3x}  

b)

 y=3x+Cy=3x+C  

c)

 y22=3x+C\frac{y^2}{2}=3x+C  

d)

 lny=x+C\ln y=x+C