The main mathematical operation in solving for the solution of a differential equation is differentiation.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
icon
Related questions
Topic Video
Question

TRUE OR FALSE PLS HELP ME ANSWER 6,7,8

1. A differential equation is an equation which contains one or more variables and at least one of its
derivatives.
2. The degree of the differential equation (DE) is the highest exponent that you can see in the DE.
3. The degree of the DE y" + 3y' + 5y^6 = tan(x) is 6.
4. The equation V²4 =
is known as the wave equation.
v2 at2
5. There are 2 arbitrary constants in the particular solution of a second order differential equation.
6. The main mathematical operation in solving for the solution of a differential equation is
differentiation.
7. The main mathematical operation in proving that f(x,y)=0 is a solution of the DE f(x,y.y')= 0 is
integration.
8. The DE (y + yx^2)dx + (xy^2 + 2x)dy = 0 is not variable separable.
9. A solution to a DE with arbitrary constants is known as a general solution.
10.The equation y' (e^x)(log y) is a linear DE.
Transcribed Image Text:1. A differential equation is an equation which contains one or more variables and at least one of its derivatives. 2. The degree of the differential equation (DE) is the highest exponent that you can see in the DE. 3. The degree of the DE y" + 3y' + 5y^6 = tan(x) is 6. 4. The equation V²4 = is known as the wave equation. v2 at2 5. There are 2 arbitrary constants in the particular solution of a second order differential equation. 6. The main mathematical operation in solving for the solution of a differential equation is differentiation. 7. The main mathematical operation in proving that f(x,y)=0 is a solution of the DE f(x,y.y')= 0 is integration. 8. The DE (y + yx^2)dx + (xy^2 + 2x)dy = 0 is not variable separable. 9. A solution to a DE with arbitrary constants is known as a general solution. 10.The equation y' (e^x)(log y) is a linear DE.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,