Differential equation general solution calculator
First Order Linear Differential Equations
Therefore the general solution to the differential equation is At this point, you should show students how to solve a first order linear differential equation with their Nspire-CAS calculators. The procedure can be found on pages 1.13 – 1.15. Students should now attempt to solve the four differential equation on pages 1.17 – 1.20.
Summary of lesson
Open a Calculator Scratchpad and use the function . deSolve. to find the general solution to the differential equation. Verify analytically that the function is a solution to the differential equation that satisfies the initial condition. 4. Find . Is the approximation in problem 2 an overestimate or underestimate? Add the graph of the solution ...
[DOC File]Math 6A, Section 1 - Swarthmore College
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You may use a calculator and the reference sheet below, but no other references. The exam ends at 12:20 by the wall clock. There are 7 numbered questions on pages 2 – 6. _____ 1. (12 pts) Consider the differential equation . Find any one solution that is valid for all . It’s linear. A(t) = 3t, and so . and the general solution is .
[DOC File]January 2006 - 6674 Pure P4 - Question paper
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(a) Find the general solution of the differential equation + 2 + 5x = 0. (4) (b) Given that x = 1 and = 1 at t = 0, find the particular solution of the differential equation, giving your answer in …
[DOC File]Math 216 - University of Michigan
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3. Use mathematical software to solve a variety of differential equations. 4. Use the solution of differential equations to answer questions about the real world situation the equations model. Texts. Fundamentals of Differential Equations, by Nagle, Saff, and Snider, published by …
[DOC File]MEI STRUCTURED MATHEMATICS
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5 Understand how to determine the order of a differential equation. Interpretation of solutions. 6 Be able to interpret the solution of a differential equation in terms of the original situation. 7 Appreciate the difference between a general solution and a particular solution, i.e. one which satisfies particular prescribed conditions.
[DOC File]January 2005 - 6674, 6667 Pure P4 and Further Pure FP1 ...
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(b) Solve the differential equation II to find v as a function of x. (6) (c) Hence state the general solution of the differential equation I. (1) 7. The curve C has polar equation r = 6 cos ( , – ( ( < , and the line D has polar equation r = 3 sec , – ( ( < . (a) Find a cartesian equation of C and a cartesian equation of D. (5)
[DOC File]7
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Use the differential equation to model the spread the rumor. N=30. In order to complete the solution we need a general solution to the differential equation given above. Find the general solution. Use your result from above to solve the differential equation for the particular solution with y(0)=1 and y(___) = _____ as you initial conditions.
[DOC File]MATH 115 ACTIVITY 1:
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1. Be able to check a proposed solution for a differential equation. 2. Be able to solve a separable differential equation and find a particular solution from a given initial condition (of the form y(x) = some value) 3. Be able to work with the logistic differential equation model. 3. Work as a team, using the team roles. CRITERIA: 1.
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