In Problems 17 through 26, first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition.

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Chapter1: Functions And Models
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Do 26. the instuctions are in the second image.

In Problems 17 through 26, first verify that y(x) satisfies the
given differential equation. Then determine a value of the con-
stant C so that y(x) satisfies the given initial condition. Use a
computer or graphing calculator (if desired) to sketch several
typical solutions of the given differential equation, and high-
light the one that satisfies the given initial condition.
Transcribed Image Text:In Problems 17 through 26, first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition.
26. y'+y tan x = cos x; y(x) = (x + C)cos x, y(n) = 0
25. y' = 3x2(y² + 1); y(x) = tan(x³ + C), y(0) = 1
-24. xy'-3y = x3; y(x) = x³(C + In x), y(1) = 17
23. x + 3y = 2x5; y(x) = ¿x5 + Cx-3, y(2) = 1
22. e y' = 1; y(x) = In(x + C), y(0) = 0
21. y' + 3x²y = 0; y(x) = Ce¬x³, y(0) = 7
20. y' = x – y; y(x) = Ce¯* +x - 1, y(0) = 10
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Transcribed Image Text:26. y'+y tan x = cos x; y(x) = (x + C)cos x, y(n) = 0 25. y' = 3x2(y² + 1); y(x) = tan(x³ + C), y(0) = 1 -24. xy'-3y = x3; y(x) = x³(C + In x), y(1) = 17 23. x + 3y = 2x5; y(x) = ¿x5 + Cx-3, y(2) = 1 22. e y' = 1; y(x) = In(x + C), y(0) = 0 21. y' + 3x²y = 0; y(x) = Ce¬x³, y(0) = 7 20. y' = x – y; y(x) = Ce¯* +x - 1, y(0) = 10 %3D %3D %3D %3D %3D xp %3D %3D %3D %3D TƏ P
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