3. Solve the differential equation x² (²2 + 2xy-15y² = 0. dx dogonde pogadacg9P on oyigo aos pe o paty

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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No 3.
2. Determine whether the given differential equation is Exact or not. If it's exact, solve it directly. If not,
solve it by finding an appropriate integrating factor.
(8x²y3 - 2y¹)dx + (5x³y² - 8xy³)dy = 0.
3. Solve the differential equation x²(x)² + 2xy - 15y² = 0.
dy
dx
4. Find the general solution of the given differential equation.
d²y
dx²
dy
+3 + 4y = xcos (3x)
dx
Transcribed Image Text:2. Determine whether the given differential equation is Exact or not. If it's exact, solve it directly. If not, solve it by finding an appropriate integrating factor. (8x²y3 - 2y¹)dx + (5x³y² - 8xy³)dy = 0. 3. Solve the differential equation x²(x)² + 2xy - 15y² = 0. dy dx 4. Find the general solution of the given differential equation. d²y dx² dy +3 + 4y = xcos (3x) dx
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,