#### 8.1.3 1.3

8.1.3.1  Problem 1
8.1.3.2  Problem 2
8.1.3.3  Problem 3
8.1.3.4  Problem 4

##### 8.1.3.1  Problem 1

problem number 2010

Problem Chapter 1.1.3.1, from Handbook of nonlinear partial diﬀerential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for $$w(x,t)$$

$w_t = a w_{xx} +b w^k$

Mathematica

Failed

Maple

sol=()

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##### 8.1.3.2  Problem 2

problem number 2011

Problem Chapter 1.1.3.2, from Handbook of nonlinear partial diﬀerential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for $$w(x,t)$$ $w_t = w_{xx} +a w+ b w^m$

Mathematica

Failed

Maple

sol=()

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##### 8.1.3.3  Problem 3

problem number 2012

Problem Chapter 1.1.3.3, from Handbook of nonlinear partial diﬀerential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for $$w(x,t)$$ $w_t = w_{xx} +a w+ b w^m + c w^{2 m -1}$

Mathematica

Failed

Maple

sol=()

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##### 8.1.3.4  Problem 4

problem number 2013

Problem Chapter 1.1.3.4, from Handbook of nonlinear partial diﬀerential equations by Andrei D. Polyanin, Valentin F. Zaitsev.

Solve for $$w(x,t)$$

$w_t = w_{xx} +a w^{m -1} + b m w^m - m b^2 w^{2 m -1}$

Mathematica

Failed

Maple

sol=()

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