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.
P Prerequisite Skills Diagnostic Test R Algebra Reference 1 Functions 2 Exponential, Logarithmic, And Trigonometric Functions 3 The Derivative 4 Calculating The Derivative 5 Graphs And The Derivative 6 Applications Of The Derivative 7 Integration 8 Further Techniques And Applications Of Integration 9 Multivariable Calculus 10 Matrices 11 Differential Equations 12 Probability 13 Probability And Calculus 14 Discrete Dynamical Systems Chapter11: Differential Equations
11.1 Solutions Of Elementary And Separable Differential Equations 11.2 Linear First-order Differential Equations 11.3 Euler's Method 11.4 Linear Systems Of Differential Equations 11.5 Nonlinear Systems Of Differential Equations 11.6 Applications Of Differential Equations 11.CR Chapter 11 Review 11.EA Extended Application Pollution Of The Great Lakes Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 1YT: YOUR TURN 1 Find all solutions of the differential equation dydx=12x5+x+e5x. Problem 2YT Problem 3YT Problem 4YT: YOUR TURN In Example 6, find the goat population in 5 years if the reserve can support 6000 goats,... Problem 1E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 2E Problem 3E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 4E Problem 5E Problem 6E Problem 7E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 8E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 10E Problem 11E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 12E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 13E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 14E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 17E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the... Problem 19E: Find the particular solution for each initial value problem. dydx+3x2=2x;y(0)=5 Problem 20E Problem 21E: Find the particular solution for each initial value problem. 2dydx=4xex;y(0)=42 Problem 22E: Find the particular solution for each initial value problem. xdydx=x2e3x;y(0)=89 Problem 23E: Find the particular solution for each initial value problem. dydx=x3y;y(0)=5 Problem 24E: Find the particular solution for each initial value problem. x2dydxyx=0;y(1)=e2 Problem 25E: Find the particular solution for each initial value problem. (2x+3)y=dydx;y(0)=1 Problem 26E: Find the particular solution for each initial value problem. dydx=x2+52y1;y(0)=11 Problem 27E: Find the particular solution for each initial value problem. dydx=2x+1y3;y(0)=4 Problem 28E: Find the particular solution for each initial value problem. x2dydx=y;y(1)=1 Problem 29E: Find the particular solution for each initial value problem. dydx=y2x;y(e)=3 Problem 30E: Find the particular solution for each initial value problem. dydx=x12y2;y(4)=9 Problem 31E: Find the particular solution for each initial value problem. dydx=(y1)2ex1;y(1)=2 Problem 32E: Find the particular solution for each initial value problem. dydx=(x+2)2ex;y(1)=0 Problem 33E: Find the particular solution for each initial value problem. dydx=ycosx;y(0)=3 Problem 34E: Find the particular solution for each initial value problem. dydx=eysec2x;y(0)=0 Problem 35E Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E Problem 41E: Suppose that 0y0N. Let b=(Ny0)y0, and let y(x)=N(1+bekx) for all x. Show the following. a. 0y(x)N... Problem 42E Problem 43E: Tracer Dye The amount of a tracer dye injected into the blood stream decrease exponentially, with a... Problem 44E: Soil Moisture The evapotranspiration index I is a measure of soil moisture. An article on 10- to... Problem 45E: Fish Population An Isolated fish population is limited to 4000 by the amount of food available. If... Problem 46E: Dieting A persons weight depends both on the daily rate of energy intake, say C calories per day,... Problem 47E: Refer to Exercise 46. Suppose someone initially weighing 180lb adopts a diet of 2500 calories per... Problem 50E: U.S. Hispanic Population A recent report by the U.S. Census Bureau predicts that the U.S. Hispanic... Problem 51E: U.S Asian Population Refer to Exercise 50. The report also predicted that the U.S. Asian population... Problem 52E: Guernsey Growth The growth of Guernsey cows can be approximated by the equation dWdt=0.0152(486W)... Problem 53E: Flea Beetles A study of flea beetles found that the change in the rate of flea beetles moving in and... Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be... Problem 56E: Spread of a Rumor Suppose the rate at which a rumor spreads-that is, the number of people who have... Problem 57E: Radioactive Decay The amount of a radioactive substance decreases exponentially, with a decay... Problem 58E: Newtons Law of Cooling Newtons law of cooling states that the rate of change of temperature of an... Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,... Problem 60E: Newtons Law of Cooling When a dead body is discovered, one of the first steps in the ensuing... Problem 61E Problem 1YT: YOUR TURN 1 Find all solutions of the differential equation dydx=12x5+x+e5x.
Please show all the work!!
Solve the differential equation: xy' + 3y = 5 and y(1)=1
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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