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Use a 8. Solve y" + 2y' = e-t, y(0) = 1, y'(0) = 2.

Use a 8. Solve y" + 2y' = e-t, y(0) = 1, y'(0) = 2.

Calculus For The Life Sciences
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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Please so number 8
+ x² + 2x 3. Solve the initial value problem x" -bx' +x=sint, where b is a constant with b < 1. 4. Solve the initial value problem r"-3'-40x=2e-t, 5. Find the solution of x" - 2x' = 4, x(0) = 1,2(0)=0 6. An undamped spring-mass system is driven by an em 1 and the spring constant is k = 2.1 The mass is m = '(0) = 1. Find the general solution and plot it for 0 7. Find the particular solution to the equation I" +I Use a trigonometry formula to rewrite the right side 8. Solve y" + 2y' = e-t, y(0) = 1, y'(0) = 2. 9. A mass of 5 grams is attached to a spring with stiff is driven by an external force of 10 dynes. Initially 15 cm and given a velocity of 4 cm/sec. Find and the mass for all times t≥ 0. 10. An LC circuit contains a 10-2 farad capacitor battery of 5e-2t volts and an inductor of 0.4 henr and I = 0. Find the charge Q(t) on the capacitor a of the circuit in terms of transients and steady sta 11. An RCL circuit contains a battery generating 110 and the ca 0(+) "T/G.
Transcribed Image Text:+ x² + 2x 3. Solve the initial value problem x" -bx' +x=sint, where b is a constant with b < 1. 4. Solve the initial value problem r"-3'-40x=2e-t, 5. Find the solution of x" - 2x' = 4, x(0) = 1,2(0)=0 6. An undamped spring-mass system is driven by an em 1 and the spring constant is k = 2.1 The mass is m = '(0) = 1. Find the general solution and plot it for 0 7. Find the particular solution to the equation I" +I Use a trigonometry formula to rewrite the right side 8. Solve y" + 2y' = e-t, y(0) = 1, y'(0) = 2. 9. A mass of 5 grams is attached to a spring with stiff is driven by an external force of 10 dynes. Initially 15 cm and given a velocity of 4 cm/sec. Find and the mass for all times t≥ 0. 10. An LC circuit contains a 10-2 farad capacitor battery of 5e-2t volts and an inductor of 0.4 henr and I = 0. Find the charge Q(t) on the capacitor a of the circuit in terms of transients and steady sta 11. An RCL circuit contains a battery generating 110 and the ca 0(+) "T/G.
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