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Chapter 5 Solutions
DIFFERENTIAL EQUATIONS W/WILEYPLUS
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- Solve the following IVP: (7et if 0 5 y'(0) = -1. y" + 9y = {6 y(0) = 0, Note: Write your final answer in terms of UNIT STEP FUNCTION and your six constants. DON’T SOLVE FOR THE CONSTANTS.arrow_forwarda). A drug in the blood stream decays by according to the equation y'=ky, where y is the concentration of the drug in the bloodstream. If the half-life of the drug is 4 hours, what fraction of the drug remains after 6 hours ?arrow_forwardSolve the following IVP y' = e(2x - 4) dr de 20 =7² y(5) = 0 r(1) = 2arrow_forward
- Solve the following: a. If z = sin(5x + 3y) Find and dx dz ду b. If z=(3x+2y) (4x-5y) Find Oz dz and 8x by c. A cylinder has dimensions r=5 cm, h=12 cm. Find the approximate increase in volume when r increases by 0.2 cm and h decreases by 0.3 cm. d. The radius of a cylinder increases at the rate of 0.2 cm/s while the height decreases at the rate of 0.4 cm/s. Find the rate at which the volume is changing at the instant when r = 8 cm and h = 12 cm. e. If z=sin(x + y); x = u² + v²; y = 2uv Find dz and อน avarrow_forwardSolve the following initial-value problem: <+ ye*) dx- хе* dy%3D0; у(1) %3 0arrow_forwardItem 7. Show that the given equation is an accurate equation and find the general solution of the equation (5x+ y* )dx+ y(2x–y²)dy = 0arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage