Particular Solution as a Definite Integral

Question

The function $$y=h(x)$$ is the solution to the differential equation $$\frac{dy}{dx}=\sin(x^2)$$ satisfying the initial condition $$h(1)=3$$. Which of the following is an expression for $$h(x)$$?

Accepted Answer

$$h(x)=3+\int_1^x\sin(t^2)\, dt$$

Answer

$$h(x)=-\cos(x^2)+C$$

Answer

$$h(x)=3+2x\cos(x^2)$$

Answer

$$h(x)=3+\int_0^x\sin(t^2)\, dt$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	haneesh19.12	1	1	1m 43s	-3
#2	minhkhangchatchoi2008	0	1	0m 03s	-13
#3	daniel.rufener	1	1	2m 17s	-37

Particular Solution as a Definite Integral

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