Answered: Obtain the general solution unless… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 38E

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1. Obtain the general solution unless otherwise instructed
d²y
1.
dx2
dr - y =
2. у" — у' — х%3D 0
3. (D? — 3D + 2)у %3D е2x(1 + е2*)^
10sin?x
-1

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Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.
1. with solution please, thank you
х2 9 dy + sinx - у %3D0 dx
Consider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y? A m = 1, 1, 1; y = C, e* + C,x e* + C,x² e* т %3D 0, +1; у%3D С, + С, е* + Ce C, e* 2 m = - 1, 1, 1; y = C, e¯* + C, e* + C,x e* m = 0, ±i; y = C, + C, cos x + C, sin x
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Find a real general solution. Show the details of your work: 1. х?у" - 20у %3D 0 2. 5x?y" + 23xy' + 16.2y = 0 3. х?у" + 0.7ху' — 0.1у %3D 0 4. х?у" — 0.7ху' - 0.1у %3D0
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Е. INVERSE D-OPERATOR 1. (D² + 3D + 2)y = 24cos3x 2. (D3 + 4D² + 5D)y = 20e¬5x 3. (D4 + 5D3 + 6D2 — 4D — 8)у %3 60е 5x 4. (D3 + 6D² + 13D)y= 36e-3x sin 2x
Show that the homogenous equation(Ax + By) ⅆx + (Cx + Dy) ⅆy = 0Is exact if and only if B = C. Show that the homogenous equation(Ax2 + Bxy + Cy2) ⅆx + (Dx2 + Exy + Fy2) ⅆy = 0Is exact if and only if B = 2D and E = 2C.
Question 21 Choose a non-exact equation and solve. (ху-2у?) аx - (x2- 3ху) dy -D0 1. х ду-у dx %3D 3x?(x2 + у?) dx (2ху-у? + у)dx + (3x2- 4ху+ 3x)dy -D0 2. 3.
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