A First Course in Differential Equations with Modeling Applications (11th Edition)

Chapter 9

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For : 2.0801For : 2.0592 ; The formula given for ... more

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For : For : ; The formula given for the ... more

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For : 2.0488For : 2.0619 ; The formula given for ... more

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Step 1: Step 2: Step 3: Step 4: more

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 Step 6:hnxn​yn​y′=f(xn​,yn​)=(xn​−yn​)2k1​=h×f(xn... more

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For : For : ; The formula given for the ... more

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; The formula given for the approximation using ... more

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; As can be calculated for and is or .... more

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; Differentiate both sides of the equation with ... more

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; Differentiate both sides of the equation with ... more

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; Differentiate both sides of the equation with ... more

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It is not possible to first calculate all values ... more

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; The function can be represented as .For , the ... more

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  ; Substitute for in to obtain . ; Substitute... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; The function can be represented as .For , the ... more

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; Since therefore For , and , therefore ... more

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; The given differential equation is given by , ... more

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Follow the below steps to write computer program ... more

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; The given differential equation is given by .... more

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For , For , ; The given differential equation is ... more

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For , For , ; The given differential equation is ... more

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The actual value of is is -1.4958 and the ... more

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For : ,  ; The given differential equation is and... more

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For : , For : , The solutions of the differential ... more

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For : , For : ,   ; The given differential ... more

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Add equations and to solve for . ; Substitute ... more

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Add equations and to solve for . ; Substitute ... more

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, , ; Compare , , with , , . So, , , , , and .... more

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, , ; Compare , , with , , . So, , , , , and .... more

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, , , ; Compare , , with , , . So, , , , , and .... more

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, , , ; Compare , , with , , . So, , , , , and .... more

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 003.000013.375123.630633.644843.235552.1411610.... more

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 011.00001-0.59182-1.16263-1.30704-1.27045-1.... more

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 1.0005.00001.1253.88421.2502.96401.3752.20641.... more

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 10.349220.720231.136341.623352.211862.938673.8490... more

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