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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 + 8x + 9, y(2) = −7
2.dydx = 3x2 − 4, y(1) = −4
3.dydx = −3x2 − 6x − 2, y(−2) = −3
4.dydx = 6x2 − 2x − 5, y(−2) = 4
5.dydx = 3x2 − 8x, y(2) = 6
6.dydx = 6x2 − 6x − 4, y(2) = 8
7.dydx = −6x2 + 6x + 6, y(2) = −1
8.dydx = 3x2 + 2x + 7, y(1) = −9
9.dydx = −6x2 − 8, y(−1) = 4
10.dydx = −6x2 − 6x − 8, y(1) = 5
11.dydx = 3x2 + 4x − 4, y(1) = 2
12.dydx = −3x2 − 4x, y(−2) = 6
Answer key — Differential equations: initial value problems practice
Differential equations: initial value problems
6.y = 2x3 − 3x2 − 4x + 12
7.y = −2x3 + 3x2 + 6x − 9
10.y = −2x3 − 3x2 − 8x + 18
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