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divide through by 2x to get: dy/dx + 2y/x = 4x         this is now in the form of dy/dx + P(x)y = Q(x)

intergrating factor = exp( integral(P(x)) dx ) = exp( integr...

tan(x)+tan(45)/1-tan(x)tan(45) = 8tan(x)

8tan²(x)-7tan(x)+1=0

tan(x)=0.6952 or 0.1798

x = arctan(0.6952) = 34.8070 deg and arctan(0.1798) = 10.1932 deg

Mass movement events, such as slumps and rock-falls, commonly occur in coastal zones. Cliff toes are almost ubiquitously subject to erosional processes relating to the work done upon them by wave action. ...

Using the substitution u = x³+1 the answer can be found 

(x³+1)⁷/7 + C

Na₂O + 2HCl --> 2NaCl + H₂O, easiest way to do this is to balance this equation is to write down all the atoms on both sides of the reaction. Its easiest to start with an element ...