5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2)(e³) -7s4+2s?+24 3. С(х + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x...

NONHOMOGENEOUS LINEAR ODEs - METHOD OF UNDETERMINED COEFFICIENTS

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5. L-1(÷+<br>1. L(e** + e-* + x²) =<br>+<br>+<br>s-4<br>s+1<br>s3<br>2. L(sin 2x + e2x+3) :<br>e3<br>+<br>s-2<br>%D<br>s2+4<br>Hint: e²x+3 –<br>(e2*)(e³)<br>-7s4+2s?+24<br>3. С(х* + х2 — 7) %3D<br>s5<br>4. L- (+) = 2e* +<br>x4<br>$5<br>12<br>= e-2x + cos 2x +sin v3x<br>s2+4<br>s²+3,<br>

Extracted text: 5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2*)(e³) -7s4+2s?+24 3. С(х* + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x s2+4 s²+3,

Jun 04, 2022

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5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2)(e³) -7s4+2s?+24 3. С(х + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x...

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5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2*)(e³) -7s4+2s?+24 3. С(х* + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x...

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5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2)(e³) -7s4+2s?+24 3. С(х + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x...