A first order linear equation in the form y′+p(x)y=f(x)y′+p(x)y=f(x) can be solved by finding an integrating factor μ(x)=exp(∫p(x)dx)μ(x)=exp⁡(∫p(x)dx) (1) Given the equation xy′+(1+3x)y=10xe−3xxy′+(1+3x)y=10xe −3x find μ(x)=μ(x)= (2) Then find an explicit general solution with arbitrary constant CC.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

cosine

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

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