y′ + y = 2 |
y(0) = 0 |
![]() |
= 0 |
-5y + ![]() |
= 0 |
y(0) | = 1 |
x(0) | = - 1 |
Solve + Exact BITMAPSETProbSolvHint0.2309in0.2802in0inq6
![]() |
= ![]() ![]() ![]() |
![]() |
= ![]() ![]() ![]() |
Define + New Definition
C1 | = | ![]() |
|
k | = | - ![]() ![]() |
|
P![]() ![]() |
= | ![]() ![]() ![]() |
Evaluate
Evaluate Numerically
y′′ | = | ![]() |
|
y(0) | = | 1 | |
y′(0) | = | 0 |
y![]() ![]() |
= | cosh t cosh 0 - sinh t sinh 0 | |
= | cosh t |
Solve + Exact BITMAPSETProbSolvHint0.2309in0.2802in0inq8
160 = 70 + ek![]() ![]() |
120 = 70 + ek![]() ![]() |
Define + New Definition
C1 | = | 90 | |
k | = | ![]() ![]() |
Evaluate
Evaluate Numerically
![]() |
![]() |
![]() ![]() ![]() |
C(0) = 100 |
R(0) = 1000 |
V(0) = 1000 |
Plot 2D + ODE C, R, VBITMAPSETProbSolvHint0.2309in0.2802in0inq9
dtbpF3.0277in2.028in0ptplotode1.wmf
Observe what these functions predict for a longer term.dtbpF3.0277in2.028in0ptplotode2.wmf
![]() |
= | - ![]() |
|
![]() |
= | - ![]() ![]() ![]() |
|
![]() |
= | v | |
![]() |
= | u | |
v(0) | = | z cos2θ | |
u(0) | = | z cosθsinθ | |
x(0) | = | 0 | |
y(0) | = | 0 |
Plot 2D + Parametric (x, y) dtbpF3.0277in2.028in0ptparaplot.wmf