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Differential equations: initial value problems practice
Differential equations: initial value problems · 1–12
Solve the differential equation with the given initial condition.
1.dydx = 3x2 + 2, y(0) = 0
2.dydx = −6x2 + 6x + 4, y(0) = 9
3.dydx = 3x2 − 4x + 1, y(0) = 8
4.dydx = −6x2 − 8x − 1, y(0) = −2
5.dydx = −3x2 + 2x − 7, y(0) = −5
6.dydx = −3x2 + 6x + 1, y(0) = 7
7.dydx = −6x2 − 8x, y(0) = 4
8.dydx = −6x2 + 6x, y(0) = 6
9.dydx = 6x2 + 8x + 5, y(0) = 3
10.dydx = −6x2 + 4x − 7, y(0) = 4
11.dydx = 6x2 + 6x + 3, y(0) = −9
12.dydx = −3x2 − 2x + 3, y(0) = 9
Answer key — Differential equations: initial value problems practice
Differential equations: initial value problems
2.y = −2x3 + 3x2 + 4x + 9
10.y = −2x3 + 2x2 − 7x + 4
11.y = 2x3 + 3x2 + 3x − 9
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