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dentity the type and determine the linearity of the given differential equation, and also give its order and degree. 1. x²y" + xy' = x² + y dCA dt 2. 3. dx² a² y at² -RCA0et-k₂C² 5 d3 dx3 -3x y a²0² y dx² =xlnx 5. xsin y'=y"e*+y 6. 5+(y)2 =[3z³y² + (y")³14/3 aw at 4 =h402 w əs² 8. xyzx +2y³ (2)³ = 1 7.

dentity the type and determine the linearity of the given differential equation, and also give its order and degree. 1. x²y" + xy' = x² + y dCA dt 2. 3. dx² a² y at² -RCA0et-k₂C² 5 d3 dx3 -3x y a²0² y dx² =xlnx 5. xsin y'=y"e*+y 6. 5+(y)2 =[3z³y² + (y")³14/3 aw at 4 =h402 w əs² 8. xyzx +2y³ (2)³ = 1 7.

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.CR: Chapter 11 Review
Problem 4CR
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I. For each give DE, determine the dependent variables and independent variables. Identify the type and determine the linearity of the given differential equation, and also give its order and degree. 1. x²y" + xy = x² + y dCA-RC A0e kC dt 2. 3. 4. d²y dx² 0² y at² 5 -a -kyt-k₂C²³₁ d³ y dx.3 -3x¹y = xln x a ²0², 2 ?х² II. Verify if the given function is a solution of the indicated differential equation. 5. xsin y'=y"e*+y 6. 5+(y)² =[32³ y² + (y")³]4/3 √√ 2cosh a4w =h4 at = h1d² ds2 8. xyz +2y³(z„)³ =1 7. 1. xy³ + y²-x)dx-ydy=0 -2=cxy; (x² 2. y = Insin(x - A) + B; y" + (y)² +1=0 3. y = ae³* +be 3x; y"-9y=0 4. y=q₁x+c₂e; (x+1)y" + xy'-y=0
Transcribed Image Text:I. For each give DE, determine the dependent variables and independent variables. Identify the type and determine the linearity of the given differential equation, and also give its order and degree. 1. x²y" + xy = x² + y dCA-RC A0e kC dt 2. 3. 4. d²y dx² 0² y at² 5 -a -kyt-k₂C²³₁ d³ y dx.3 -3x¹y = xln x a ²0², 2 ?х² II. Verify if the given function is a solution of the indicated differential equation. 5. xsin y'=y"e*+y 6. 5+(y)² =[32³ y² + (y")³]4/3 √√ 2cosh a4w =h4 at = h1d² ds2 8. xyz +2y³(z„)³ =1 7. 1. xy³ + y²-x)dx-ydy=0 -2=cxy; (x² 2. y = Insin(x - A) + B; y" + (y)² +1=0 3. y = ae³* +be 3x; y"-9y=0 4. y=q₁x+c₂e; (x+1)y" + xy'-y=0
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