Solve the partial differential equation (D^ 2 -DD^ prime -2D^ 2 )z = (2x ^ 2 + xy - y ^ 2) * sin(xy) - cos(xy)
3. Find the area enclosed by the curves y = x+6, x² = 3y, x² = -3y + 18 using double integration. plot the region of integration. 4. Solve the partial differential equation (D² - DD' - 2D¹²)z = (2x² + xy-y²) sin(xy) - cos(xy).
Solve the partial differential equation (D^ 2 -DD^ prime -2D^ 2 )z = (2x ^ 2 + xy - y ^ 2) * sin(xy) - cos(xy)
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